A firm’s demand function is P= 60 − 0.5Q If fixed costs are 10 and variable costs are Q + 12 per unit, find the value of output to maximize the profit.
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A firm’s demand function is P= 60 − 0.5Q If fixed costs are 10 and variable costs are Q + 12 per unit, find the value of output to maximize the profit.
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- A firm's demand function is Q = 16 – P and its total cost function is defined as TC = 3 + Q +0.25Q 2 . Use these two functions to form the firm's profit function and then determine the level ofoutput that yields the profit maximum. What is the level of profit at the optimum?The demand function for a firm is p = 320 – 3.2x, and the cost function is C(x) = 100 + 80x – 1.6x2 Required (i) Determine the profit function. (ii) Determine the output and price for maximum profit and the maximum profit. Show that it is a maximum point.A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (b) Find a function for the average cost of this company?
- A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit QuestionMathematical Economics If fixed cost are 20, variable cost per unit are 2 and the demand function is P+ 2Q = 24, find the profit function in terms of Q.A firm has a linear demand function for it's product.When the price of the product is sh.20,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 giving by: Mc = 40q- 2q^2+2 Fixed cost = 5 million Where q= quantity demanded,Mc = marginal cost(sh.million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at the maximum profit
- The demand curve of a firm is p=1200– 21q and its total cost is C(q) = 2q – 66q² +600q+1000 where q is the output of the firm (in thousands). (i) Derive an expression R(q) for the firm' s revenue function. (ii) Derive an expression II(q) for the firm' s profit function. (iii) Is the rate of change of profit increasing or decreasing when the output level of the firm is 10,000 units?Suppose the revenue function for the sale of a product is r(x)= -3x^2+30x and the cost function is c(x)=6x. Find: A) the quantity that will maximize profit B) the break even quantitySuppose that the cost of producing q appliances is C(q) = 500 – 4q + q? and the demand function is given by p = 14 – 2 q. The quantity that minimizes the average cost function and the corresponding price are g= 22.36 and p= -30.72 a) Why the corresponding price is negative? explain The maximum profit would be -473 b) Why the maximum profit is minus? explain what happens
- The cost function for Acme Laundry is C(q)=50+30q+q2, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p?What is the price function of output for a firm with cost function c(y) = y2+ 2y2+ 6 ? (a) y = P/6 (b) y = 4/P (c) y = 2/P (d) y = P/2Find the marginal profit. C(x)=4x^2; R(x)=x^3+5x+15