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A firm has the following average cost and
Ac= 3Q+7+12/Q
Q= 10-P
- Write out the total cost and total revenue functions in terms of Q.
- Find the average cost, marginal cost, average revenue and marginal revenue functions.
- Formulate the total profit function in terms of Q.
- Find the profit maximization level of output.
- What is the maximum profit.
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- A firm has the following demand and average total cost functions: Q = 30 − PATC =7/Q− 6 +1/2 Q Find the level of output that will maximize revenue and minimize total cost and the profit function and the level of output that maximize profitsThe total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30 q2 − 12.85q + 20 + 400/q , ,where q is the firm's output. Is the rate of change of profit increasing or decreasing when the output level of the firm is 10 units?The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30q2 − 12.85q + 20 + 400/q. The total cost function is C(q) = 1/30q3 – 12.85q2 + 20q + 400 . The profit function is Π(q)= –1/30q3 + 0.85q2 + 20q – 400 (i) Is the rate of change of profit increasing or decreasing when the output level of the firm is 10 units?
- The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) = 1/30q2 − 12.85q + 20 + 400/q. The total cost function is C(q) = 1/30q3 – 12.85q2 + 20q + 400 . The profit function is Π(q)= –1/30q3 + 0.85q2 + 20q – 400 (i) Determine the level of output for which the firm’s profit is maximized. (ii) What is the firm's maximum profit?A firm has the following revenue and cost functions. TR = 60 Q – Q2 TC =1⁄2Q2 +30Q +30 Determine the quantity level at which the firm maximizes its total profit. Calculate the amount of total profit.The total revenue curve of a firm is R (q) = 40q - 12q2 and its average cost A(q) = 1/30q2 - 12.85q +20 + 400/q, where q is the firm's output. (1) Derive and expression C(q) for the firm's total cost function.
- A firm has the following average cost and demand function Ac= 3Q+7+12/Q Q= 10-P Formulate the total profit function in terms of Q.A firm's demand and total cost function are given by the expression: P = 20 - Q/2 (1) TC = 0.5Q2 + 36 (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.The total Revenue curve of a firm is R(q) = 40q -12q^2 and its average cost A(q) = 1/30q^2 – 12.85q + 20 + 400/q, where q is the firm’s output. (i) Determine the level of output for which the firm's profit is maximized (ii) What is the firm’s maximum profit?
- Suppose that the total revenue function of a firm is defined as TR= (P)(Q) where TR= f(Q). The usual notation applies. 1. . Find the total revenue function TR(Q) if the inverse demand function is given by P(Q) = 80-0.2Q2. What is the shape of the total revenue function if graphed? State your basis.The total revenue curve of a firm is R(q) = 40q − 12q^2 and its average cost A(q) =1/30q^2− 12.85q + 20 + 400/q ,where q is the firms output. (I) Determine the level of output for which the firm's profit is maximized. (ii) What is the firm's maximum profit?A firm has a linear demand function for it's product.When the price for the product is Sh.220,the quantity demanded is 40 units.When the price increases to Sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is given by; MC = 40Q-2Q^2+2 Fixed cost = Sh. 5 million Where Q= quantity demanded, Mc= marginal cost(cost in Sh. Million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at a maximum profit