Inspection costs at one of Ratulowski Corporation's factories are listed below: Units Produced Inspection Costs April 906 $ 16,312 May 951 $ 16,700 June 912 $ 16,365 July 896 $ 16,210 August 918 $ 16,394 September 903 $ 16,280 October 920 $ 16,432 November 860 $ 15,850 December 899 $ 16,238 Management believes that inspection cost is a mixed cost that depends on units produced. Using the high-low method, the estimate of the fixed component of inspection cost per month is closest to:

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.

Our uncle has $300,000 invested at 7.5%, and he now wants to retire. he wants to withdraw $35,000 at the end of each year, starting at the end of this year. he also wants to have $25,000 left to give you when he ceases to withdraw funds from the account. for how many years can he make the $35,000 withdrawals and still have $25,000 left in the end? a. 14.21b. 14.96c. 15.71d. 16.49e. 17.32