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How would I put these Linear Programs into Excel's Solver tool? The programs for the problems are as follows: Problem 1: Max 3x+5y Subject to...
How would I put these Linear Programs into Excel's Solver tool?
The programs for the problems are as follows:
Problem 1:
Max 3x+5y
Subject to...
25x+50y
0.5x+0.25y
x
x,y >= 0
Problem 2:
Min 2x+3y
Subject to...
x+y >= 350
x >= 125
2x+y
x,y >= 0
Investment Advisors, Inc., is a brokerage firm that manages stock portfolios for clients. A new client has requested that the firm handle an dollar 80,000 investment portfolio. As an initial investment strategy, the client wants to restrict the portfolio to a mix of the following stocks. The risk index for the stock is a rating of the relative risk of the two investment alternatives. For the data given, U.S. Oil is judged to be the riskier investment. By constraining the total risk for the portfolio, the investment firm avoids placing excessive amounts of the portfolio in potentially high-return high-risk investments. For the current portfolio, an upper limit of 700 has been set for the total risk index of all investments. The firm also has set an upper limit of 1000 shares for the more risky U.S. Oil stock. How many shares of each stock should be purchased to maximize the total annual return? M&D Chemicals produces two products that are sold as raw materials to companies manufacturing bath soaps, laundry detergents, and other soap products. Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management has specified that the total production for products 1 and 2 combined must be at least 350 gallons. Also, a major customer's order for 125 gallons of product 1 must be satisfied. Product 1 requires 2 hours of processing time per gallon and product 2 requires 1 hour of processing time per gallon; for the coming month, 600 hours of processing time are available. Production costs are 52 per gallon for product 1 and dollar 3 per gallon for product 2. Determine the production quantities that will satisfy the requirements specified at minimum cost. What is the total product cost? Identify the amount of any surplus productionStep by Step Solution
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