1. (A production problem) The Mantell, Company makes softballs and baseballs. In order to make each type of ball, leather, nylon, wood chips and machine time and labor are needed. The requirements for each item and the resources available are show in the following table: Item Leather Nylon Wood Chips Labor Machine Softball 6 ounces 8 yards 10 ounces 3 minutes 1 minute Softballs sell for $17 each, and baseball sell for $15 each. Formulate & solve a linear programming model that can be used to determine the number of each type of ball to produce in order to maximize revenue (15 pts). Oil Auto Baseball 2. (An investment problem) A client has approached a stockbroker with the following request: invest $100,000 for maximum annual income under the three conditions: Spread the investment over no more than three different stocks Put no more than 40 percent of the money into any one stock Put a minimum of $10,000 into oil stock Pharmaceutical 4 3 2 2 1 The broker has identified three stocks for the investing the funds. Their estimated annual returns and price per share are shown in the following table: Stock Price/share $120 $52 $18 Available 6000 5000 5000 3600 2000 Estimate Annual return/share $11 $4 $2 Formulate & solve a linear programming model to determine the investment so as to maximize the total estimated returns (15 pts).