# Represent the number of homeowners interviewed during

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represent the number of homeowners interviewed during the day. The objective function minimizes the cost of interviewing this and other categories and there is a constraint that HD > 100. The solution indicates that interviewing another homeowner during the day will increase costs by 10.00. What do you know? a. the objective function coefficient of HD is 10. b. the dual price for the HD constraint is 10. c. the objective function coefficient of HD is -10. d. the dual price for the HD constraint is -10. 7. Let M be the number of units to make and B be the number of units to buy. If it costs \$3 to make a unit and \$2 to buy a unit and 4000 units are needed, the objective function is a. Max 2M + 3B b. Min 3M + 2B c. Min 4000 (M + B) d. Max 8000M + 12000B 8. Let A, B, and C be the amounts invested in companies A, B, and C. If no more than 40% of the total investment can be in company B, then a. B < 40 b. A - .4B + C < 0 c. -.4A + .6B - .4C < 0 d. .A - B - .4C < 0 9. If P ij = the production of product i in period j, then to indicate that the limit on production of the company’s three products in period 2 is 400, a. P 21 + P 22 + P 23 < 400 b. P 12 + P 22 + P 32 < 400 c. P 32 < 400 d. P 23 < 400 Comm 251 F04 Page 2 of 6 Term Exam 1

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10. If a decision variable is not positive in the optimal solution, its reduced cost is a. what its objective function value would need to be before it could become positive. b. the amount its objective function value would need to improve before it could become positive. c. zero. d. its dual price. Quantitative Problems – (25 marks each) 11. The Prince George RCMP schedules officers for 8 hour shifts. The shifts start at 8 am, noon, 4 pm, 8 pm, midnight and 4 am. An officer starting one of these shifts works for the next 8 hours. During normal weekday operations, the number of officers needed
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