A firm requires 96 units of good Q. The firm can only hire one worker to produce these 96 units. The firm pays its worker a fixed wage. The worker’s production function is Q(e) = 24e The worker’s effort cost function is C(e) = 4e² The worker gets 0 if unemployed. Treat the good as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay?
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A firm requires 96 units of good Q.
The firm can only hire one worker to produce these 96 units.
The firm pays its worker a fixed wage.
The worker’s production function is Q(e) = 24e
The worker’s effort cost function is C(e) = 4e²
The worker gets 0 if
Treat the good as continuous.
Assume the firms pay the lowest fixed wage it can. What wage does it pay?
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- A firm sells two products. Product R sells for $20; its variable cost is $6. Product S sells for $50; its variable cost is $30. Product R accounts for 60 percent of the firm’s sales, while S accounts for 40 percent. The firm’s fixed costs are $4 million annually. Calculate the firm’s break-even pointIt costs a company c(x) dollars to produce x units. Thecurve y c (x) is called the firm’s marginal cost curve.(Why?) The firm’s average cost curve is given by z c(xx).Let x* be the production level that minimizes the company’saverage cost. Give conditions under which the marginal costcurve intersects the average cost curve at x*.A manufacturer has a monthly fixed cost of $44,000 and a production cost of $9 for each unit produced. The product sells for $13/unit. (a) What is the cost function? C(x) = (b) What is the revenue function? R(x) = (c) What is the profit function? P(x) = (d) Compute the profit (loss) corresponding to production levels of 9,000 and 13,000 units. P(9,000) = P(13,000) =
- Suppose Firm A can manufacture 100 pens and 20 umbrellas with a unit of labor, and Firm B can manufacture 80 pens and 10 umbrellas with a unit of labor. Which one of the following statements is true? Firm A has the comparative advantage in both pen and umbrella production.Firm B has an absolute advantage in umbrella production.Firm A has a comparative advantage only in pen production.Firm B has a comparative advantage in pen production.Neither firm has a comparative advantage in either pen or umbrella production.A manufacturer has a production facility that requires 10,237 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 6 days. The unit purchase cost is $31.4 per unit. The cost to place and process an order from the supplier is $168 per order. The unit inventory carrying cost per year is 12.2 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 1,053 units per order, what is the annual holding cost? Use at least 4 decimal places.Ruth Company currently has $1,000,000 in accounts receivable. Its days sales outstanding (DSO) is 50days. The company wants to reduce its DSO to the industry average of 32 days by pressuring more ofits customers to pay their bills on time. The company’s CFO estimates that if this policy is adopted thecompany’s average sales will fall by 10 percent. Assuming that the company adopts this change andsucceeds in reducing its DSO to 32 days and does lose 10 percent of its sales, what will be the level ofaccounts receivable following the change? Assume a 365-day year.
- A firm produces three products. Product A sells for $60; its variable costs are $20. Product B sells for $200; its variable costs are $120. Product C sells for $25; its variable costs are $10. Last year, the firm sold 1000 units of A 2000 units of B, and 10,000 units of C The firm has fixed costs of $320,000 per year. Calculate the break-even point of the firm.1+1 is equal to?The point at which a company's profits equal zero is called the company's break-even point. Let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day. R(x) = 50x С(x) %3 32.5х + 52,500 (a) Find the firm's break-even point; that is, find x so that R= C. (b) Find the values of x such that R(x) > C(x). This represents the number of units that the company must sell to earn a profit. (а) х%3 (Type a whole number.) (b) Solve the inequality for x. Type the correct inequality symbol in the first answer box below, and type an integer in the second answer box.
- Consider a general Cobb-Douglas production function q= LK, and assume the firm produces q=qo. Which of the following is NOT TRUE? (hint: you can answer this question purely with graphs) If the production level qo increases, both, labor used (L*) and capital used (K*) will increase. If only the price of capital doubles and the price of labor remains at its initial level, the use of labor (L') increases and the use of capital (K*) decreases. If only the price of labor doubles and the price of capital remains at its initial level, the use of labor (L*) increases and the use of capital (K*) decreases. If the price of capital and the price of labor both double, the cost- minimizing input quantities L* K* do not change. None of the above.48. Consider the following break-even problem: the cost of producing Q units, c(Q), is described by the curve c(Q) = 48Q[1 – exp(-.08Q)], where Q is in hundreds of units of items produced and c(Q) is in thousands of dollars. a. Graph the function c(Q). What is its shape? What economic phenomenon gives rise to a cumulative cost curve of this shape? b. At what production level does the cumulative production cost equal $1,000,000? c. Suppose that these units can be purchased from an outside supplier at a cost of $800 each, but the firm must invest $850,000 to build a facility that would be able to produce these units at a cost c(Q). At what cumulative volume of production does it make sense to invest in the facility?A company has two products, which both sell in quantities of 20. Product A sells for $35/unit with a profit margin of 20%. Product B sells for $50/unit with a profit margin of 13%. Product A has a lost sale probability of 25% when out of stock, and Product B has a lost sale probability of 35% when out of stock. Which product is the more "expensive", in terms of lost sales, if it were to experience a stockout? O No answer text provided. O Product A O They both have the same cost of lost sales same O Product B