HW14: Problem 1 Previous Problem Problem List Next Problem (1 point) A company is considering two insurance plans with the following types of coverage and premiums: Plan A Plan B Fire/Theft $25000 $30000 Liability $195000 $126000 Monthly Premium $70 $56 Premiums are sold in units. For example, one can buy one unit of plan A insurance for $70.00 per month and receive $25,000.00 in Theft/Fire Insurance. Two units of plan A insurance cost $140.00 per month and give $50,000.00 in Theft/Fire insurance. The company wants at least $675,000.00 in coverage for Theft/Fire Insurance and $4,185,000.00 in coverage for liability insurance. How many units of each plan should be purchased to meet the needs of the company while minimizing cost? The company should purchase units of plan A and units of plan B. What is the minimum monthly premium for the company? (Note: your answer is a dollar amount and should include a dollar symbol). (1 point) A manufacturer of downhill and cross-country skis reports that manufacturing time is 2 hours and 5 hours, respectively, per ski and that finishing time is 3 hours for each downhill and 1 hours for each cross-crountry ski. There are only 25 hours per week available for the manufacturing process and 18 hours for the finishing process. The average profit is $74 for downhill ski and $92 for cross- country ski. The manufacturer wants to know how many of each type of ski should be made to maximize the weekly profit. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (1.e. (1.2).(3,4)). Maximum profit is: $ when downhill skis and cross country skis are produced. (1 point) A diet is to contain at least 1082 units of carbohydrates, 1664 units of proteins, and 1968 calories. Two foods are available: F which costs $ 0.04 per unit and F2, which costs $ 0.01 per unit. A unit of food F contains 1 units of carbohydrates, 2 units of proteins and 4 calories. A unit of food F, contains 9 units of carbohydrates, 8 units of proteins and 6 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements. Corner points of the feasible region: 1 If there is more than one corner point, type the points separated by a comma (1.c. (1.2).(3,4)). Minimum cost is: $ units when F = and F2 = units. (1 point) Blink Appliances plans to order microwaves and stoves. Each microwave requires 2 hours to unpack and set up in the storeroom, and each stove requires 4 hours. The storeroom space is limited to 64 items. The budget of the store allows only 236 hours of employee time for unpacking and setup. Microwaves yields a profit of $ 103 each, and stoves yields a profit of $ 168 each. How many of each should the store order to maximize profit? Number of microwaves to order is Number of stoves to order is The maximum profit is $
