Question

In: Economics

Suppose that your firm produces two products in fixed proportions, so that if you decide to...

Suppose that your firm produces two products in fixed proportions, so that if you decide to produce one more unit of X, your firm must also produce one more unit of Y. If TC = 100 + 3Q +½Q2 and the demand curves for X and Y are
QX=100-2PX, and QY=101-PY find the profit maximizing outputs.
(a) Find the expressions for MR for good X and good Y. (Hint: solve each demand curve for P, multiply by Q, take the first derivative with respect to Q to get MR.)
(b) Find the expression for MC.
(c) Find the profit maximizing output.
(d) Find the price of each good.

Solutions

Expert Solution


Related Solutions

AVP of a manufacturing firm that produces two products has to decide (1) How much capacity...
AVP of a manufacturing firm that produces two products has to decide (1) How much capacity to build? (2) Whether to invest in dedicated or flexible resources, or a portfolio consisting of both dedicated and flexible systems. The VP received the following forecasting for the demand of each product. Year 1–2 Year 3–6 Volume Volume Probability Product A 500,000 200,000 0.7 600,000 0.3 Product B 200,000 200,000 0.3 600,000 0.7 A dedicated line can produce 300,000 annually and its cost...
Suppose a firm has a fixed-proportions production function, in which one unit of output is produced...
Suppose a firm has a fixed-proportions production function, in which one unit of output is produced using two workers and one unit of capital. a. Draw the isoquants for this production function, representing labor on the x-axis and capital on the y-axis. b.Define and show the expansion path of the firm. c. Suppose capital is fixed at three units. Show, by means of a line on the diagram, the short run possibilities of combining workers and capital when workers go...
34. Consider a firm producing and selling joint products produced in variable proportions in two competitive...
34. Consider a firm producing and selling joint products produced in variable proportions in two competitive markets. For a given level of TC (or a level TR), the profit-maximizing combination of QA and QB requires _______, where PA = price of A, PB = price of B, CA = cost of A and CB = cost of B. MC of A and B can be used for CA and CB. A. P_A/C_A =P_B/C_B B. P_A/C_B =P_B/C_A C. P_A/C_A -P_B/C_B =1....
Your firm produces two products, Thyristors (T) and Lozenges (L), that compete for the scarce resources...
Your firm produces two products, Thyristors (T) and Lozenges (L), that compete for the scarce resources of your distribution system. For the next planning period, your distribution system has available 6,000 person-hours. Proper distribution of each T requires 3 hours and each L requires 2 hours. The profit contributions per unit are 40 and 30 for T and L, respectively. Product line considerations dictate that at least 1 T must be sold for each 2 L’s. (a) Draw the feasible...
A company produces chairs and wood chips in fixed proportions in the same or joint production...
A company produces chairs and wood chips in fixed proportions in the same or joint production process : every chair produces one kg of wooden chips  Q function for chairs: Q c = 1800 – 20 Pc  Q function for wooden chips: Q w = 900- 1000 Pw  MC is Rs. 25 per unit of production – that is one chair + 1 kg chips  Will it be profitable to sell all the wood chips? (i)...
A firm produces two products, the respective quantities of which are ?1 and ?2. The firm...
A firm produces two products, the respective quantities of which are ?1 and ?2. The firm has agreed to produce a total of 100 units of both products for a client. The total cost TC for the firm is ??(?1, ?2) = 2?1 + ?1?2 + 4?2 with demand functions ?1 = 20 − ?1 + ?2 and ?2 = 30 + 2?1 − ?2. Show that the firm’s maximum profit is 2,204, where profit is ?(?1, ?2) = ?1?1...
Suppose you are a corn farmer in your home state. You have to decide between two...
Suppose you are a corn farmer in your home state. You have to decide between two projects. One project is to purchase new equipment for your farm that will help boost your profits for the next 10 years. You also find out that you can purchase a large banana farm in Brazil for the same price as the equipment, and at the current market price for bananas you will make a lot more profit than you would from purchasing new...
Suppose there are two firms, Firm A and Firm B that produce identical products in a...
Suppose there are two firms, Firm A and Firm B that produce identical products in a duopoly. Firm A has a constant marginal cost of production, MCA = 10 and Firm B has a constant marginal cost, MCB = 14. The market demand curve for the the product is given by P = 42 − 0.004Q where Q = (QA + QB). (a) Suppose that Firm A has a first-mover advantage. That is, Firm A is able to choose output...
You have been hired by a firm that produces two products, Q(1) and Q(2). As the...
You have been hired by a firm that produces two products, Q(1) and Q(2). As the economic consultant, the production function is: C(Q(1),Q(2)) = 4000 – 3Q(1)Q(2) + 2Q(1)2 + 3Q(2)2 and management has approached you for advice. a. First, management is considering increasing production of Q(2) in response to gaining access to a new market. If the firm does increase the production of Q(2) and holds the production of Q(1) constant, what is the impact of this decision on...
You have been hired by a firm that produces two products, Q(1) and Q(2). As the...
You have been hired by a firm that produces two products, Q(1) and Q(2). As the economic consultant, the production function is: C(Q(1),Q(2)) = 5000 – 2Q(1)Q(2) + 4Q(1)3 + 5Q(2)2 and management has approached you for advice. First, management is considering increasing production of Q(2) in response to gaining access to a new market. If the firm does increase the production of Q(2) and holds the production of Q(1) constant, what is the impact of this decision on the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT