Anvils Works’ requires, on average, 2800 tons of aluminum each week, with a standard deviation of 1000 tons. The lead time to receive its orders is 10 weeks. The holding cost for one ton of aluminum for one week is $11. It operates with a 0.98 in-stock probability. a. On average, how many tons does it have on order?

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening. a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number. include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i. e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

Under t, the point (0,2) gets mapped to (3,0). t-1 (x, y) →

An increase in the market price of men's haircuts, from $16 per haircut to $26 per haircut, initially causes a local barbershop to have its employees work overtime to increase the number of daily haircuts provided from 20 to 25. when the $26 market price remains unchanged for several weeks and all other things remain equal as well, the barbershop hires additional employees and provides 40 haircuts per day. what is the short-run price elasticity of supply? nothing (your answer should have two decimal places.) what is the long-run price elasticity of supply? nothing (your answer should have two decimal places.)