INVESTMENT ANALYSIS Sandra has at most
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EBK FINITE MATHEMATICS FOR THE MANAGERI
- What interest rate would you need to get to double an investment of 200 in eight years?arrow_forwardWhat is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?arrow_forwardIn Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175 on each business return, find the maximum profit. An accountant prepares tax returns for individuals and for small businesses. On average, each individual return requires 3 hours of her time and 1 hour of computer time. Each business return requires 4 hours of her time and 2 hours of computer time. Because of other business considerations, her time is limited to 240 hours, and the computer time is limited to 100 hours. If she earns a profit of 80 on each individual return and a profit of 150 on each business return, how many returns of each type should she prepare to maximize her profit?arrow_forward
- If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.arrow_forwardFinance A family has a monthly mortgage payment of $760, which is 16 of their monthly income. What is the family’s monthly income?arrow_forwardRedo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?arrow_forward
- Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a chair. On average, Chase must work 3 hours and Devin 2 hours to make a chair. Chase must work 2 hours and Devin 6 hours to make a table. If neither wishes to work more than 42 hours per week, how many tables and how many chairs should they make each week to maximize their income? Find the maximum income. Table Chair Time Available Devins Time hr 6 2 42 Chases Time hr 2 3 42 Income 100 80arrow_forwarddvisor estimates that the money-market fund will return 5% over the next year, the blue-chip fund 9%, and the high-tech fund 16%. Jason wants a total of first-year return of $4000. To avoid excessive risk, he decides to invest three times as much money in the money-market fund as in the high-tech stock fund. How much should he invest in each fund? 4. Let A=5, -31 -2 3 a. Find the inverse of matrix A, if it exists. Write out all work. b. Use your answer from part a. to solve the system of linear equations below. (Note: You must use part a. in order to get full credit for this question.) 5x-3y 10 -2x+3y 15 %3D %3D DII DD F10 F7 F8arrow_forwardA building company plans to build a new warehouse. The cost of building the warehouse is an initial investment of 1500 thousand dollars, together with a further 250 thousand dollars at the end of each of the next two quarters. The building company will need to cover quarterly operating cost of 120 thousand dollars at the end of each of the next two quarters (first and second). After completion of the construction by the end of the second quarter, the warehouse will be sold for 2.5 million dollars. Assuming that the annual interest rate is 4% compounded annually, find: (1) The present value of the building costs; (2) The present value of the operating costs; (3) The present value of the revenue; and (4) The internal rate of return of the project. (5) Do you think the company should carry out this project? Give your reason(s).arrow_forward
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