You manage a plant that mass-produces engines by teams of workers using assembly machines. the technology is summarized by the production function qequals5kl where q is the number of engines per week, k is the number of assembly machines, and l is the number of labor teams. each assembly machine rents for requals$40 comma 000 per week, and each team costs wequals$6 comma 000 per week. engine costs are given by the cost of labor teams and machines, plus $4 comma 000 per engine for raw materials. your plant has a fixed installation of 5 assembly machines as part of its design. the total cost of producing q units of output (tc) is a. tcequals200 comma 000plus10 comma 000q. for any given level of output q, write the expression for the number of labor teams required.
b. what is the cost function for your plant � namely, how much would it cost to produce q engines?

2standard deviation a particular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

If a firm plans to issue new stock, flotation costs (investment bankers' fees) should not be ignored. there are two approaches to use to account for flotation costs. the first approach is to add the sum of flotation costs for the debt, preferred, and common stock and add them to the initial investment cost. because the investment cost is increased, the project's expected return is reduced so it may not meet the firm's hurdle rate for acceptance of the project. the second approach involves adjusting the cost of common equity as follows: . the difference between the flotation-adjusted cost of equity and the cost of equity calculated without the flotation adjustment represents the flotation cost adjustment. quantitative problem: barton industries expects next year's annual dividend, d1, to be $1.90 and it expects dividends to grow at a constant rate g = 4.3%. the firm's current common stock price, p0, is $22.00. if it needs to issue new common stock, the firm will encounter a 6% flotation cost, f. assume that the cost of equity calculated without the flotation adjustment is 12% and the cost of old common equity is 11.5%. what is the flotation cost adjustment that must be added to its cost of retaine

Sye chase started and operated a small family architectural firm in 2016. the firm was affected by two events: (1) chase provided $25,000 of services on account, and (2) he purchased $2,800 of supplies on account. there were $250 of supplies on hand as of december 31, 2016. record the two transactions in the accounts. record the required year-end adjusting entry to reflect the use of supplies and the required closing entries. post the entries in the t-accounts and prepare a post-closing trial balance.