This is section 3.7 problem 60: a clothing manufacturer has the cost function c(x)=1200+30x+0.5x2 , (in dollars), 0≤ x≤ 250 , where x is the number of suits produced each week. the revenue function for selling x suits is given by r(x)=120x , (in dollars). in order to achieve the maximum profit each week, suits per week must be produced and sold to achieve the maximum profit of $ . hint: follow example 1.

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Darlene has a balance of 3980 on a credit card with an apr of 22.8% paying off her balance and which of these lengths of time will result in her paying the least amount of interest?

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