Given the profit function for firm 2; π(Y2; 1) = (80 - 2y1-3y2)y2-10y2-y, firm's 2's profit-maximizing output level solves ச ○ a. 291 8y2 +70 მი Эп O b. 891-4y2 +40 Dy2 aT ○ C. 2y1 8y2 +40 By aπ O d. 2y1-6y2+70 მყი

(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?

A major software developer has estimated the demand for its new personal finance software package to be Q=1,000,000P-2 while the total cost of the package is C = 10,000+ 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product where percentage markup is defined as 100*(sale price - marginal cost)/marginal cost? 4. a. b. C. d. e. ANS: 90% 100% 20% 40% 250%

Question Four a) A fim, focusing on producing meat pie has a demand function 20 25-0.25P. If fixed cost is 145 and variable cost per urit function is 2Q- 40 + , where Q is number of meat pie produced and Pis the price per unit: i. 275 Determine the number of meat pies that maximizes the company's profit. ii. How much should the fimcharge per unit of the product? iii. Find the total profit at the profit mximizing level of output. iv. Using the own price edasticity of demand, comment on the fimis pricing policy optiors. b) The production function for Amzonbuưgers, producers of delicious burgers at Sao Tome, is given as: Q = K%L% If the wage rate is $15 per unit of labour, and cost of capital is $1,920 per unit and you have 1 unit of capital which carmot be changed, and the firmemploys 8 units of labour; i. Calculate the fimts total cost ii. Calculate the fim's average cost ii. Estimate the marginal product of labour

Assume the firm can sell its product for $14 each. TR AVC TC АТС MC $2000 100 $1400 $600 $2600 $26.00 $6.00 200 $2800 $5.00 $3000 $15.00 300 $1920 $6.40 $3920 $9.20 400 $5600 3280 $8.20 $13.20 $13.60 Suppose the manager decided to sell at an output that maximized average profit. At a market price of $14, how many would he sell? would you do about this manager, and why? As the owner of this company, what

Suppose that the company is willing to consider dropping the distribution centerlimitations; that is, customers could be served by any of the distribution centers forwhich costs are available. Can costs be reduced? If so, by how much? show all excel working

Attempt all questions. Q1. a) A local Pepsi company has total costs of production given by the equation TC-500+10q+Sq2. This implies that the firm's marginal cost is given by the equation MC 10+10q. The market demand for cold drink is given by the equation QD-105 (1/2)*P. Write the equations showing the company's average total cost and average variable cost and average fixed cost, each as a function of q. Show the firm's MC, ATC and AVC on one graph. What is the breakeven price and breakeven quantity for this firm in the short run? What is the shutdown price and shutdown quantity for this firm in the short run? If the market price of the output is $50, how many units will this firm produce? iv) Assuming the cold drink industry is perfectly competitive, what output would be produced by the firm in long-run equilibrium? What would be the long-run equilibrium price? i) ii)

A competitive firm has the following short-run cost function: c(y) = y3/3 - 10y2 +11y + 12. What is its marginal cost function? O y²-20y + 11 O 3y2-20y + 11 +12/y Oy-20y2 + 11y2 + 12 Oy2-30y + 11 +12/y

2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as shown in the graph below: 100 90 80 70 70 60 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Quantity (Q) -P (demand) a) Estimate the firm's demand function. You may assume that the slope is a whole number, and the intercept is a multiple of 10. (1 mark) b) Find the firm's revenue function. You do not need to draw it. (2 marks) c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks) d) Find and draw the marginal cost function. (3 marks) e) Use your results from parts (c) and (d) to find the profit-maximising level of output. (3 marks) f) Find the market price at this level of output. (2 marks)

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