Linear Programming

Each day workers at Sprinfield Mall parking lot work two 6 hour shifts from 12 A.M. to 6 A.M., 6 A.M. to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 6 A.M. - 15 workers; 6 A.M. to 12 P.M. - 5 workers; 12 P.M. to 6 P.M. - 12 workers; 6 P.M. to 12 A.M. - 6 workers; Workers whose two shifts are not consecutive are paid $18 per hour. Formulate an Linear Programing that can be used to minimize the cost of meeting the daily workforce demands of the Springfield Mall parking lot.

Linear Programming

I have to determing how much investment and debt to undertake during the next year. Each dollar invested reduces the NPV of my company by 10 cents, and each dollar of debt increases the NPV by 50 cents (due to deductibility of interest payments). I can invest at most $1 million during the coming year. Debt can be at most 40% of investment. I now have $800,000.00 in cash available. All investment must be paid for from current cash or borrowed money. Set up an Linear Programming (LP) whose solution will tell me how to maximize its NPV. Then graphically solve the LP.

Linear Programming

My Oil Company has 5,000 barrels 1 of oil and 10,000 barrels of oil 2. The company sells two products: gasoline and heating oil. Both products are produced by combining oil 1 and oil 2. The quality level of each oil is as follows: oil 1 -- 10; oil 2 -- 5. Gasoline must have and average quality level of at least 8, and heating oil at least 6. Demand for each product must be created by advertising. Each dollar spent advertising gasoline creates 5 barrels of demand and each spent on heating oil creates 10 barrels of demand. Gasoline is sold for $25 per barrel, heating oil for $20. Formulate and Linear Programming (LP) to help me miximize profit. Assume that no oil of either type can b... click for more

Linear Programming

A company produces A, B, and C and can sell these products in an unlimited quantities at the following prices: A - $10; B - 56; C - $100. Producing a unit of A requires 1 hour of labor; a unit of B, 2 hours of labor plus 2 units of A; and a unit of C, 3 hours of labor plus 1 unit of B. Any A that is used to produce B cannot be sold. Similary, any B that is used to produce C cannot be sold. A total of 40 hours of labor are available. Formulate an Linear Programming (LP) to maximize the company's revenues.

Linear Programming

A customer requires during the next four months, respectively, 50, 65, 100, and 70 units of a commodity (no backlogging is allowed). Production costs are $5, $8, $4, and $7 per unit during these months. The storage cost from one month to the next is $2 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 could be sold for $6. Formulate an LP that will minimize the net cost incurred in meeting the demands of the next four months.