Maximize profits for a firm given:
a. Total Revenue: R=40,000-33Q^2
b. Total Cost: C=2Q^3-3Q^2+400Q-5000
Assuming Q>0
Maximize profits for a firm given: a. Total Revenue: R=40,000-33Q^2 b. Total Cost: C=2Q^3-3Q^2+400Q-5000 Assuming Q>0
Suppose an electricity generating firm exists with the following cost functions, C(Q) = 2Q^2 + 3Q + 72, FC = 72, MC(Q) = 4Q + 3, AC(Q) = 2Q + 3 + (72/Q), AVC(Q) = 2Q + 3 Graph the AC(Q), the AVC(Q), the MC(Q) on the same graph below. Hint, this is easiest to do by creating a schedule with quantity from 1 – 10 and calculating the corresponding costs for each quantity. I.e., when Q = 1, the AVC =?...
The firm's long-run total cost is given by LTC = 5,000Q - 100Q^2 + Q^3 and its long-run marginal cost is given by LMC = 5,000 - 200Q + 3Q^2. At what output level does the firm experience diseconomies of scale? I don't understand how it goes from this " 5000 - 100Q + Q2 " to this equation "-100 + 2Q = 0"
A. Given cost and revenue functions and C(q) = 112q + 44000 and R(q) = -3q^2 + 2500q, how many items must the company produce and sell to earn a profit of 67,900? The company must produce _ items. B. Given cost and revenue functions and C(q) = 112q + 43000 and R(q) = -3q^2 + 2800q, how many items must the company produce and sell to break even? The company must produce and sell _ items.
3. A firm produces two goods in pure competition and has the following total revenue and total cost function. TR(X1,X2) = 18x1 + 15x2 (a) Maximize profits for the firm, using matrix inversion to solve the first-order conditions. 13) Answer: 3 (. Refar to the fim in Question 3(0) use the Hessian to check the second conditions for profit maximization. 13] Answer:
3. A firm produces two goods in pure competition and has the following total revenue and total cost...
Suppose the total cost function for a firm is given by C (Q) = 100 + Q2. If the firm sells its output in a perfectly competitive market at a price of $10, what level output should the firm produce to maximize profits or minimize losses? What will be the level of profits or losses if the firm makes the optimal decision?
Suppose a monopoly firm has the following demand and long‑run total cost functions: P(Q) = 100 ‑ Q and LRTC(Q) = 2Q. What are this firm's LRAC and LRMC functions (mathematically and graphically)? At what output level does this firm maximize profits? (Hint: marginal revenue is equal to 100 ‑ 2Q). What is this firm's profit level?
Consider a representative firm with total cost of TC=16+Q^2 (and a marginal cost of of 2Q, MC=2Q). The market demand curve is given by P=18-(1/2)Q and the starting market price is $12. 1) Graph the starting condition of a comparative static scenario. 2) Annotate what happens in order to transition to the long run. 3) Graph the long run equilibrium using comparative statics. 4) How many firms are in the market in the long run?
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
Find the value of Q when Firms A and B Cournot compete to
maximize profits (i.e. when they simultaneously determine profit
maximizing output).
Firm A and Firm B compete in the sale of a product with market inverse demand given by P(0) = 260-Q, where Q is market output, and Q = 9A + 96 (9A = Firm A's output, 93 = Firm B's output). Firm A's Total Cost function is given by TCA9A) = 209A and Firm B's is...
1) Given a firm's revenue is defined as R(Q) = 160Q - 3Q^2. While the firm's cost is defined as C(Q) = 20 + 11Q. The firm's marginal profit of producing the 7th unit is ___? 2) For a downward-sloping linear demand curve, the associated marginal revenue curve: has twice the slope as the demand curve. is positive for all levels of sales. is parallel to the quantity axis. lies below and is parallel to the demand curve. coincides with...