1. [-/1 Points] DETAILS WANEFMAC7 12.2.001. MY NOTES ASK YOUR TEACHER PRACTICE ANO Solve the optimization problem. HINT [See Example 2.] Maximize P = xy with x + y = 14. P = Need Help? Read It 2. [-/1 Points] DETAILS WANEFMAC7 12.2.004. MY NOTES ASK YOUR TEACHER PRACTICE ANO Solve the optimization problem. Minimize S = x + 3y with xy = 3 and both x and y > 0. S = Need Help? Read It 3. [-/1 Points] DETAILS WANEFMAC7 12.2.005. MY NOTES ASK YOUR TEACHER PRACTICE ANO Solve the optimization problem. HINT [See Example 2.] Minimize F = x2+ ywith x + 2y = 20. F = Need Help? Read It 4. [-/2 Points] DETAILS WANEFMAC7 12.2.009. MY NOTES ASK YOUR TEACHER PRACTICE ANO For a rectangle with a perimeter 60 to have the largest area, what dimensions should it have? (Enter the smaller value first.) X Need Help? Read It 5. [-/2 Points] DETAILS WANEFMAC7 12.2.019. MY NOTES ASK YOUR TEACHER PRACTICE ANO I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $80 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose? north and south sides ft east and west sides Need Help? Read it6. [-/3 Points] DETAILS WANEFMAC7 12.2.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH In the 1930s a prominent economist devised the following demand function for corn: 6,540,000 p = 1.3 where q is the number of bushels of corn that could be sold at p dollars per bushel in one year. Assume that at least 6,000 bushels of corn per year must be sold. (a) How much should farmers charge per bushel of corn to maximize annual revenue? HINT [See Example 3, and don't neglect endpoints.] (Round to the nearest cent.) p = $ (b) How much corn can farmers sell per year at that price? q = bushels per year (c) What will be the farmers' resulting revenue? (Round to the nearest cent.) per year Need Help? Read It 7. [-/3 Points] DETAILS WANEFMAC7 12.2.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH An airline requires that the total outside dimensions (length + width + height) of a checked bag not exceed 59 inches. Suppose you want to check a bag whose height equals its width. What is the largest volume bag of this shape that you can check on a flight? (Round your answers to two decimal places.) length in width in height in Need Help? Read It 8. [-/3 Points] DETAILS WANEFMAC7 12.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE Assume that it costs a company approximately C(x) = 529,000 + 160x + 0.001x dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? units What is the resulting average cost of a device? How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $ Need Help? Read It9. [-/1 Points] DETAILS WANEFMAC7 12.2.051. MY NOTES ASK YOU A postal service will accept packages only if the length plus girth is no more than 270 inches. (See the figure.) Length Girth Assuming that the front face of the package (as shown in the figure) is square, what is the largest volume package that the postal service will accept? in S Need Help? Read It 10. [-/1 Points] DETAILS WANEFMAC7 12.2.043. MY NOTES ASK YOU Chocolate Box Company is going to make open-topped boxes out of 5 X 19-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to one decimal place.) in Need Help? Read It Watch It