Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: Upper P equals 120 minus Upper Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: pi equals p 1 Upper Q 1 plus p 2 (Upper Q 2 minus Upper Q 1 )plus p 3 (Upper Q 3 minus Upper Q 2 )minus m Upper Q 3, where p 1 is the high price charged on the first units Upper Q 1 (first block) and p 2 is a lower price charged on the next (Upper Q 2 minus Upper Q 1 )units and p 3 is the lowest price charged on the (Upper Q 3 minus Upper Q 2 )remaining units. Upper Q 3 is the total number of units actually purchased, and m = $50 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for p 1, p 2, and p 3, and the firm's profits.

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?

The direct labor budget of yuvwell corporation for the upcoming fiscal year contains the following details concerning budgeted direct labor-hours: 1st quarter 2nd quarter 3rd quarter 4th quarterbudgeted direct labor-hours 11,200 9,800 10,100 10,900the company uses direct labor-hours as its overhead allocation base. the variable portion of its predetermined manufacturing overhead rate is $6.00 per direct labor-hour and its total fixed manufacturing overhead is $80,000 per quarter. the only noncash item included in fixed manufacturing overhead is depreciation, which is $20,000 per quarter. required: 1. prepare the company’s manufacturing overhead budget for the upcoming fiscal year.2. compute the company’s predetermined overhead rate (including both variable and fixed manufacturing overhead) for the upcoming fiscal year.

Joint cost cheyenne, inc. produces three products from a common input. the joint costs for a typical quarter follow: direct materials $45,000 direct labor 55,000 overhead 60,000 the revenues from each product are as follows: product a $75,000 product b 80,000 product c 30,000 management is considering processing product a beyond the split-off point, which would increase the sales value of product a to $116,000. however, to process product a further means that the company must rent some special equipment costing $17,500 per quarter. additional materials and labor also needed would cost $12,650 per quarter. a. what is the gross profit currently being earned by the three products for one quarter? $answer b. what is the effect on quarterly profits if the company decides to process product a further? $answer