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- Graphically Represent and analyze the interrelationship between the short run costs Units TFC TVC TC AFC AVC AC MC 0 24 0 1 24 28 2 24 54 3 24 75 4 24 96 5 24 126 6 24 168 7 24 214 8 24 264.What are the functions for MC and AC if TC = 100q + 100q2? Are the returns to scale increasing, decreasing, or constant?A company makes solar panels. The company’s revenue function, in dollars, is R(n)=10n , where n is the number of panels produced. The cost function is C(n)=100(2)π/30 . R and C are shown on the graphbelow. a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? ii) the cost function is C(n)=100(2)π/35 changed to ? f) What does the number that was changed in part e) ii) represent?
- Write a paragraph to explain to your CEO that based on using regression analysis, through using the solver tool of excel, recalculate the optimum units to produced this month is 800 pro 200 mini to have the maximize revenue of $174,400.00. Explain what/why would it be if you make any changes in the units to stay within the constraints that you have it would produce less money.ABC Ltd. makes a television table that sells for $60 per unit. It has variable costs of $20 per unit and incurs fixed costs of $110,000 per period. Create the mathematical model that represents the problem a.P= 60X- 110,000 – 20 X b.P= 20x- 110,000- 60 X c.P= 60 X- 110,000X- 20 d.P= 20X- 60 – 110,000 X Which of the following is a definition for variable costs? a.Costs that contain a fixed and variable element b.Costs that remain the same whatever the level of output c.Costs that will remain fixed as output increases until the activity reaches a level where the costs have to increase sharply d.Costs that vary directly with the number of units producedA firm in a purely competitve industry has a typical cost structure. The normal rate of profit in the economy is 7 percent . This firm is earning $15 on every $150 investe by its founders. a. What is its percentage rate of return? b. is the firm earning an economic profit? If so, how large?
- Complete the following table by calculating the contribution to profit and overhead for each of the 10 time periods and prices. Time Period Price Quantity Sold Total Contribution ($) (Million) ($ Million) 1 2,400 0.2 2 2,200 0.2 3 2,000 0.2 4 1,800 0.2 5 1,700 0.2 6 1,600 0.2 7 1,500 0.2 8 1,400 0.2 9 1,300 0.2 10 1,200 0.2 Over the 10 periods, the total contribution to profits and fixed costs from price skimming is million.I’m unsure what the formula in this example problem is asking for, in terms of how to answer a-c. Im also not positive I understand how to graph I-C and P-C curves is there a formula to follow?Graph the ATC and MC below and explain output ATC MC 0 - 10 10 18 2 20 10 1 30 7 0.5 40 5.375 1.5 50 4.6 2 60 4.166667 2.5 70 3.928571 3.3 80 3.85 3.2 90 3.777778 5 100 3.9 9 110 4.363636 10 120 4.833333
- A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answerComplete the table below: Output TotalCost(RM) Totalvariablecost(RM) Totalfixedcost(RM)Averagefixedcost(RM)Averagetotalcost(RM)Marginalcost (RM) 0 505 16010 20020 25036 33058 40072 48088 580106 700130 820150 980A firm’s isoquant map is depicted below. Which of the following statements are true?
