Problem 1E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Maximize... Problem 2E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Maximize... Problem 3E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Minimize... Problem 4E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Minimize... Problem 5E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Minimize F=x2+y2... Problem 6E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Minimize F=x2+y2... Problem 7E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Maximize P=xyz... Problem 8E: In Exercises 1-8, solve the given optimization problems. [HINT: See Example 2.] Maximize P=xyz... Problem 9E: For a rectangle with perimeter 20 to have the largest area, what dimensions should it have? Problem 10E: For a rectangle with area 100 to have the smallest perimeter, what dimensions should it have? Problem 11E: Advertising Costs The cost, in thousands of dollars, of airing x 30-second television commercials... Problem 12E: Advertising Costs The cost, in billions of dollars, of airing x five-second hologram commercials... Problem 13E: Average Cost: iPhones Assume that it costs Apple approximately C(x)=400,000+160x+0.001x2 dollarsto... Problem 14E Problem 15E: Pollution Control The cost of controlling emissions at a firm rises rapidly as the amount of... Problem 16E Problem 17E: Pollution Control (Compare Exercise 15.) The cost of controlling emissions at a firm is given by... Problem 18E: Pollution Control (Compare Exercise 16.) Repeat Exercise 17 using the following cost function:... Problem 19E: Fences I would like to create a rectangular vegetable patch. The fencing for the east and west sides... Problem 20E: Fences I would like to create a rectangular orchid garden that abuts my house so that the house... Problem 21E Problem 22E Problem 23E: Fences (Compare Exercise 19.) For tax reasons I need to create a rectangular vegetable patch with an... Problem 24E: Fences (Compare Exercise 20.) For reasons too complicated to explain, I need to create a rectangular... Problem 25E: Revenue Hercules Films is deciding on the price of the video release of its film Son of... Problem 26E: Profit Hercules Films is also deciding on the price of the video release of its film Bride of the... Problem 27E: Revenue: Smartphones Worldwide annual sales of smart- phones in 20122013 were approximately... Problem 28E: Projected Revenue: Smartphones Worldwide annual sales of smartphones in 20132017 were projected to... Problem 29E: Revenue: Monorail Service The demand for monorail service in Las Vegas in 2005 can be approximated... Problem 30E: Revenue: Mars Monorail The demand for monorail service in the three urbynes (or districts) of Utarek... Problem 31E: Revenue Assume that the demand for tuna in a small coastal town is given by p=500,000q1.5, where q... Problem 32E: Revenue In the 1930s the economist Henry Schultz devised the following demand function for corn:... Problem 33E: Revenue During the 1950s the wholesale price for chicken in the United States fell from 25 per pound... Problem 34E: Revenue Your underground used-book business is booming. Your policy is to sell all used versions of... Problem 35E: Profit: Smartphones (Compare Exercise 27.) Worldwide annual sales of smartphones in 20122013 were... Problem 36E: Projected Profit: Smartphones (Compare Exercise 28.) Worldwide annual sales of smartphones in... Problem 37E: Profit The demand equation for your companys virtual reality video headsets is p=1,000q0.3, where q... Problem 38E: Profit Because of sales by a competing company, your companys sales of virtual reality video... Problem 39E: Paint Cans A company manufactures cylindrical paint cans with open tops with a volume of 27,000... Problem 40E: Metal Drums A company manufactures cylindrical metal drums with open tops with a volume of 1 cubic... Problem 41E: Tin Cans A company manufactures cylindrical tin cans with closed tops with a volume of 250 cubic... Problem 42E: Metal Drums A company manufactures cylindrical metal drums with open tops with a volume of 2 cubic... Problem 43E: Box Design Chocolate Box Company is going to make open-topped boxes out of 616-inch rectanglesof... Problem 44E: Box Design Vanilla Box Company is going to make open-topped boxes out of 1212-inch rectanglesof... Problem 45E: Box Design A packaging company is going to make closed boxes, with square bases, that hold 125 cubic... Problem 46E Problem 47E: Luggage Dimensions American Airlines requires that the total outside dimensions (length+with+height)... Problem 48E: Carry-on Dimensions American Airlines requires that the total outside (length+with+height) ofa... Problem 49E: Luggage Dimensions Fly-by-Night Airlines has a peculiar rule about luggage: The length and width of... Problem 50E: Luggage Dimensions Fair Weather Airlines has a similar rule. It will accept only bags for which the... Problem 51E: Package Dimensions The U.S. Postal Service (USPS) will accept packages only if the length plus girth... Problem 52E Problem 53E Problem 54E: Cellphone Revenues (Refer to Exercise 53.) If we assume instead that the revenue per cellphone user... Problem 55E: Research and Development Spending on research and development by drug companies in the United States... Problem 56E Problem 57E: Asset Appreciation As the financial consultant to a classic auto dealership, you estimate that the... Problem 58E: Plantation Management The value of a fir tree in your plantation increases with the age of the tree... Problem 59E Problem 60E Problem 61E: Average Profit The FeatureRich Software Company sells its graphing program, Dogwood, with a volume... Problem 62E Problem 63E: Resource Allocation Your company manufactures automobile alternators, and production is partially... Problem 64E Problem 65E: Resource Allocation Your automobile assembly plant has a Cobb-Douglas production function given by... Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E: Harvesting Forests The following equation models the approximate volume in cubic feet of a typical... Problem 75E: Agriculture The fruit yield per tree in an orchard containing 50 trees is 100 pounds per tree each... Problem 76E: Agriculture Two years ago, your orange orchard contained 50 trees, and the yield per tree was 75... Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E: Explain why finding the production level that minimizes a cost function is frequently uninteresting.... Problem 83E Problem 84E Problem 85E Problem 86E format_list_bulleted