We can work on Linear cost, revenue and profit functions

1) Construct a linear cost, revenue and profit functions and conduct breakeven analysis also able to
solve the problems in supply-demand equations and applications in revenue.
2) Compute interest and perform annuity calculations.
3) Calculate summary measures.
Assignment Objective

b. The profit function. What profit is earned if 300 units are sold. (7 marks)
c. The number of units in order for the firm to break even. (4 marks)
d. If at least 1000 units be sold daily, what price should the firm charge per unit to
guarantee no loss. (4 marks)

  1. A shop manager gets 4 rials for every units sold by salesman P and 5 rials for every units sold
    by salesman Q. His month fixed allowance is 32 rials. In addition to this salary, he will receive
    a bonus when combined sales from the two salesman P and Q exceeds 80 units. The bonus
    is 400 Baisa per unit for each unit over 80. Describe the salary function of the shop manager.
    (10 marks)
  2. If the demand function for a company is given by the equation 𝑞 = 26 − 2𝑝, and the supply
    function is given by the equation 8𝑝 = 𝑞 + 4.
    a. Find the equilibrium point. (7 marks)
    b. Check the equilibrium point graphically. (3 marks)
  3. Ahamed deposit R.O 130 in a 8% account and compounded semi-annually. At the same time
    Salim deposit R.O 160 in a 6% account compounded annually. Find the time that will take for
    the amounts in the two accounts to be equal? (15 marks)
  4. A person is saving money at the end each week in order to accumulate a $25,000 down
    payment for a house. How much must this person deposit weekly into an account paying
    13% compounded weekly if the down payment is needed in 5 years? (10 marks)
  5. Salim has two factories A and B and he wants to see which factory is more consistent. The
    following information was taken from the grouped data of 600 workers’ in factory A.
    ∑𝑓. 𝑥 = 12100 ∑𝑥
    2 = 2040 ∑𝑓. 𝑥
    2 = 246920
    While the information of factory B is given by the following data.
    Business Mathematics and Statistics (MASC-B 1001) – Spring 2020 – CW1 (Assignment1) – All – QP
    MEC_AMO_TEM_034_01 Page 3 of 8
    Classes Frequency
    10 – 20 110
    20 – 30 99
    30 – 40 101
    40 – 50 105
    50 – 60 97
    (20 marks)
  6. The table below shows the final marks in Mathematics and English obtained by 15 students
    selected at random from a large group of students.
    Math (x) 75 80 93 65 87 71 98 68 84 77 90 88 93 92 97
    English (y) 82 78 86 72 91 80 95 72 89 74 90 92 87 93 95
    a) Obtain the relationship between the final marks in Mathematics and English by
    correlation coefficient. (12 marks)
    b) Draw a scatter diagram for the data given in the table above. (3 marks)
    Rules & Regulations:
    • Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of
    the faculty.
    • Softcopy in word format is to be submitted through Turnitin link on Moodle.
    • Assignment must be computer typed.
    ➢ Font – Times New Roman
    ➢ Font – Style – Regular
    ➢ Font – Size – 12
    ➢ Heading should be with Font Size 14, Bold, Capital and Underline.
    Business Mathematics and Statistics (MASC-B 1001) – Spring 2020 – CW1 (Assignment1) – All – QP
    MEC_AMO_TEM_034_01 Page 4 of 8
    • Explain with suitable diagrams wherever required. Diagrams must be drawn using by pencil.
    • Each student has to do the assignment individually.

Sample Solution

Genius ecological conduct has become a vital piece of the present society, it is characterized as “conduct that hurts the earth as meager as could be expected under the circumstances, or even advantages the earth” (Steg and Vlek, 2009, p. 1). Because of environmental change and progressing misuse of regular assets, the significance of people acting ecologically sensible has gotten progressively essential. Expert ecological conduct targets changing the human conduct towards a progressively cognizant treatment of nature. In this manner various parts of day by day life, for example, vitality utilization, driving, waste disposal and water utilization ought to be focused on (Sern et al., 2018). Particularly squander has gotten one of the most huge issues today as the volume of waste has enormously expanded in the course of the most recent decades as the continuous procedure of industrialization proceeds. The waste issue can’t just be understood at government level yet should be tended to at the individual level, particularly private family units that as of now produce a lot of waste (Ayu et al., 2018). Along these lines, the significance of people the executives of waste is a contemporary theme that is applicable to be examined. Earlier discoveries Numerous papers have investigated determinants of family sway on squander. Particularly Ayu et al. (2018) have appeared in their quantitative examination of Bekasi City (Indonesia) that the family units are of imperative significance during the time spent accomplishing a low carbon society and that the degree of information and awareness about natural activities is legitimately connected to family unit squander conduct. Inside their investigation, the analysts have concentrated on ladies as they speak to the principle factor in private families in Bekasi City (Indonesia). The examination has discovered experimental proof that the degree of master ecological instruction is decidedly associated with increasingly cognizant conduct towards nature and waste administration. Nonetheless, while ongoing examinations principally centered around nations with quickly developing populaces, for example, Bekasi City (Indonesia) (Ayu et al., 2018), the genius natural conduct in nations that urge responsibility to ecological maintainability for a significant stretch of time, for example, the Netherlands (Goorhuis et al., 2012) is still moderately unexplored. It is of high intrigue if a populace of a “green” nation acts increasingly cognizant with respect to their administration of waste contrasted with a populace where the commitment to genius naturally conduct isn’t as pervaded. In this manner, this examination will concentrate on the waste administration conduct of families in the event of the Netherlands. As a hypothetical structure, the paper will utilize the Theory of Planned Behavior (TPB) which is generally utilized in ecological conduct look into. The TPB is an anticipation esteem model asserting that the expectation of people to play out a specific conduct can be anticipated from their disposition, abstract standards and the apparent social control towards a specific subject (Ajzen, 1991). The commitment of this paper will include information about the effect of cultural responsibility on the individual inspiration to act in a professional natural manner and eventually on the information, demeanor and conduct of people. The investigation in this manner targets developing our comprehension of the jobs of private family units and their effect on in the progress towards a progressively practical society (Grønhøj and Thøgersen,2017). Following this short presentation and hypothetical system, a meaning of the autonomous and ward variable just as of the hypothesis will be given in the following segment. The third area of the paper will give the methodological methodology including a clarification of the poll content. The last area will give qualities and constraints of the investigation just as moral viewpoints. Autonomous Variable (The Netherlands) The Netherlands invests a praiseworthy measure of energy and assets into natural protection. “With a present reusing pace of 51% the Netherlands has one of the main situations in the reusing of family unit squander in Europe” (Goorhuis et al., 2012, p. 1). Through joined endeavors in transportation, vitality and industry, the Netherlands’ reasonable framework serves to lessen the nation’s carbon impression. The nation as of now has a maintainable culture of transportation, as individuals more often than not travel sans fuel, either by bicycle or by open transportation. What’s more, “the nation has focused on giving 100% discharges free transports by 2025 and expelling all gas and diesel vehicles from the street by 2030, situating the nation as a pioneer in feasible territorial and urban ground transport.” (Goorhuis et al., 2012, p. 1). Subordinate Variable (Waste Management) Squander is characterized as the buildup of a human every day action, containing perilous or poisonous substances because of its temperament, fixation or amount that can either straightforwardly or in a roundabout way hurt the earth as well as human wellbeing (Ayu et al., 2018). It tends to be of different kinds including modern, organic or family unit squander. Squander the executives is the procedure between the creation and the removal of waste. All the more exactly, it incorporates the assortment, removal or reusing and observing of waste. It targets diminishing the negative impacts and effects on human wellbeing and nature. Squander decrease exercises through lessen, reuse and reuse as of now start at the individual lodging levels (Ayu et al., 2018). In any case, there is no uniform arrangement how to appropriately oversee squander which infers that there are despite everything veering levels of waste administration around the world. Hypothesis of Planned Behavior (TPB) The effect of the mentality and familiarity with nature on the conduct of people has been appeared in the hypothesis of arranged conduct (TPB) (Ajzen, 1991), one of the most powerful hypothetical systems that can likewise be applied to the field of environmental brain research. This hypothesis is intended to anticipate and clarify human conduct in explicit settings (Ajzen, 1991). A principle determinant inside this hypothesis is the person’s goal to play out a specific conduct. Goals are impacted by disposition, emotional standards and the apparent conduct control. This examination targets gathering information about genius natural conduct inside these three areas (see Appendix 1.1-1.3). The TPB proposes that the individual’s social aim is the most pertinent indicator of an activity (Ajzen, 1991). In Figure 1, the model of the TPB is introduced. Figure 1 – Theory of arranged conduct (Ajzen, 1991) The hypothesis of arranged conduct would foresee that individuals living in an economical nation have a more grounded natural awareness. Theory The focal point of this investigation concerning past research will be on the general conduct with respect to squander the board in the Netherlands. Henceforth, we estimate that: H1. There is a connection between living in the Netherlands and the resident’s inspiration to act in an ace natural manner with respect to their disposition, information and conduct towards squander the executives. H2. There is a positive connection between living in the Netherlands and the resident’s inspiration to act in a star natural way with respect to their mentality, information and conduct towards squander the executives. 2. Research Approach This examination will utilize quantitative research approach so as to clarify the waste administration conduct of family units in the Netherlands. Quantitative strategies identified with the Theory of Planned Behavior will be utilized to gather information on disposition, emotional standards and saw conduct control in the push to oversee squander. The investigation targets gathering quantitative information that can be summed up in the field of waste administration conduct. It will utilize existing speculations about the natural administration at families in Besaki City (Indonesia) (Ayu et al., 2018) and about TPB (Ajzen, 1991) and test these hypotheses with an alternate segment variable (Netherlands). The investigation will be directed for a quarter of a year, from October 2019 to December 2019 of every four Dutch urban areas (Ayu et al., 2018). Quantitative research will be directed with online studies. The selection of answers will be given by utilizing the Likert scale strategy with an interim scale with “unequivocally dissent, don’t concur, concur and firmly concur” for all inquiries (Ayu et al., 2018). Research Design The exploration will be directed as a cross-sectional investigation which examinations the conduct of the of Dutch family units with respect to squander the executives during a time of a quarter of a year. The examination will be directed with an online study in the Netherlands by an expert Dutch statistical surveying organization among an irregular determination of families in four Dutch urban communities (Amsterdam, Enschede, Eindhoven, Rotterdam). The Netherlands speaks to a social setting where supportability has been a cultural need for quite a long time, where reasonable turn of events and ace natural conduct are incorporated in school educational programs, and where purchasing condition neighborly items is nearly normal (Grønhøj and Thøgersen, 2017) (Goorhuis et al., 2012). The populace models in this exploration will be: Families in Amsterdam (North Holland), Enschede (East Holland), Eindhoven (South Holland) and Rotterdam (West Holland). The examination will apply likelihood testing (irregular inspecting) to guarantee that each family unit of the populace from the Dutch urban areas get an equivalent opportunity to be a piece of the chose test. Arbitrary examining strategy will be utilized in light of the fact that it is viewed as homogeneous so it meets at least 200 respondents (Ayu et al., 2018). So as to have an outcome that is delegate for the Dutch family units, 100 families from every city will be arbitrarily chosen. Every member will finish a survey identified with squander the board huge issues: demeanor, emotional standard and saw social control (Ajzen, 1991). The last example will comprise of 400 addressed questi>

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