An elevator rail is assumed to meet specifications if its diameter is between 0.98 and 1.01 inches. Each year a company produces 100, 000 elevator rails. For a cost of $10/σ2 per year the company can rent a machine that produces elevator rails whose diameters have a standard deviation of σ. (The idea is that the company must pay more for a smaller variance.) Each such machine will produce rails having a mean diameter of one inch. Any rail that does not meet specifications must be reworked at a cost of $12. Assume that the diameter of an elevator rail follows a normal distribution. Round your answers to three decimal places, if necessary.

a. What standard deviation (within 0.001 inch) minimizes the annual cost of producing elevator rails? You do not need to try standard deviations in excess of 0.02 inch.

b. For your answer in part a, one elevator rail in 1000 will be at least how many inches in diameter?

Which energy career pathways work with renewable energy? check all that apply.

Need with my trade theory homework. i doubt what i wrote was right.consider a monopolistically competitive market for soft drinks in which n symmetric firms face the following demand function: q=s(1/n-b(p-(p with the straight line on which implies the marginal revenue functionmr=p-(q/sb)finally, suppose firms face the total cost functiontc=900,000+100qsuppose the market size, s, is 27,000,000, and the elasticity parameter b is 0.003.diagram the price and the average total cost in the market as a function of the number of firms. what are the equations for each curve, and why does each curve slope up or down? label the equilibrium number of firms and the equilibrium price in the diagram. why is this the equilibrium?

Data pertaining to the current position of forte company are as follows: cash $437,500 marketable securities 170,000 accounts and notes receivable (net) 320,000 inventories 700,000 prepaid expenses 42,000 accounts payable 240,000 notes payable (short-term) 250,000 accrued expenses 310,000 required: 1. compute (a) the working capital, (b) the current ratio, and (c) the quick ratio. round ratios to one decimal place. 2. compute the working capital, the current ratio, and the quick ratio after each of the following transactions, and record the results in the appropriate columns of the table provided. consider each transaction separately and assume that only that transaction affects the data given. round to one decimal place. a. sold marketable securities at no gain or loss, 75,000. b. paid accounts payable, 135,000. c. purchased goods on account, 100,000. d. paid notes payable, 105,000. e. declared a cash dividend, 125,000. f. declared a common stock dividend on common stock, 45,000. g. borrowed cash from bank on a long-term note, 205,000. h. received cash on account, 130,000. i. issued additional shares of stock for cash, 635,000. j. paid cash for prepaid expenses, 15,000.