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- A Silicon Valley firm produces an output of microchips denoted by y and has a cost function c(y). Assume that the first and second derivatives of the cost function are strictly positive. Of the chips it produces, a fraction 1 − α are unavoidably defective and cannot be sold. Working chips can be sold at a price p and the microchip market is highly competitive. How will an increase in production quality affect the firm’s profit?Revenue from product X is $11,000, variable costs are $7,000, and allocated fixed costs are $6,000. If you drop product X in the long term, profit will:The unit price of a product is given by P(X) = 200 - 0,01X and the total cost function C(x) = 50X + 20.000 How many items should be sold to maximize profit?
- A farm produces rice, which is sold in 50 kilogram bags. Let Q denote the number of bagsproduced per week during harvest time. Costs C are denoted in units of dollars. The totalweekly cost function for producing the product is C = 4Q + 100. The total weekly income function for this product is I = 50Q – 2Q2. What is the profit function P as a function of Q and sketch it using P values 0, 5, 10,15, 20 and 25.Suppose a company has fixed costs of $53,200 and variable cost per unit of 1/3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2372 − 2/3x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function P(x) from the cost and revenue functions. P(x) = Find maximum profit. $ (d) What price will maximize the profit? (Round your answer to the nearest cent.) $A small business woman has realized that for one of her products, if the price per unit is GH¢20 she can sell 300 units a day. On the other hand, if the price per unit is reduced to GH¢13, she can sell 440 units a day. From the accounting records, her accountant has estimated the fixed cost of production as GH₵2,000 with a variable cost per unit of GH¢10. (i). Find an expression relating price and output assuming it is linear. (ii). State the total cost function, assuming it is linear. (iii) Advise the business woman on the level of production at which she will breakeven.
- For a unit demand function p=24-8x where x is the number of units and p is the price in tk,finds tge sales function. If the average cost per unit is Tk,8 find a.The profit function, b.The number of units that maximize that profit function.An accountant for a car rental company was recently asked to report the firm's costs of producing various levels of output. The accountant knows that the most recent estimate available of the firm's cost function is C(Q) = 100 + 10Q + Q^2, where costs are measured in thousands of dollars and output is measured in thousands of hours rented. a. What is the average fixed cost of producing 2 units of output? b. What is the average variable cost of producing 2 units of output? c. What is the average total cost of producing 2 units of output? d. What is the marginal cost of producing 2 units of output? e. What is the relation between the answers to (a), (b), and (c) above? Is this a general property of average cost curves?Suppose w= 1 and r= 3. Solve the cost minimization problem to find L*(q) and K*(q). Then find the cost function C(q).
- Suppose a laptop manufacturer has the given total cost function and the given total revenue function. C(x) = 200x + 8000 and R(x) = 500x If 150 units are produced, find the total cost for this product.If C = 0.0001Q2 + 3Q + 6000 is a total-cost function, find the marginal cost when Q = 100.The marginal cost curve is generally ______________, because diminishing marginal returns implies that additional units are ________________________. downward-sloping; A.more costly to produce upward-sloping; B. more costly to produce downward-sloping; C. less costly to produce upward-sloping; D. less costly to produce