A pension fund manager decides to invest a total of at most $25 million in U.S. Treasury bonds paying 6% annual interest and in mutual funds paying 9% annual interest. He plans to invest at least $5 milion in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $4000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $ million and the amount that should be invested in mutual funds is $ million Enter your answer in the edit fields and then click Check Answer ? > part remaining Clear All Check Answer
Question Help 7.3.13-LS A patient takes vitamin pills. Each day he must have at least 600 IU of vitamin A, 8 mg of vitamin By, and 25 mg of vitamin C. He can choose between pill 1, which contains 420 IU of vitamin A, 2 mg of vitamin B, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B, and 10 mg of vitamin C. Pill 1 costs 30e, and pill costs 154. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy of pill 1 and of pill 2. The minimum cost is $[ (Simplify your answers. Type Integers or decimals.) Ince Enter your answer in the edit fields and then click Check Answer. 2 Parts remaining Clear All Check Answer
Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 42 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $250 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income. I Enter your answer in the edit fields and then click Check Answer ? All parts showing Clear All Check Answer 31 A22 le
Deluxe coffee is to be mixed with regular coffee to make at least 52 pounds of a blended coffee. The mixture must contain at least 8 pounds of deluxe coffee. Deluxe coffee costs $5 per pound and regular coffee $4 per pound. How many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use regular coffee pounds of deluxe coffee and pounds of
Find the minimum and maximum values of z = 4x + 5y, if possible, for the following set of constraints. x+ys5 - X+y83 2x-ys8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum value is (Round to the nearest tenth as needed.) B. There is no maximum value.