A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 1) Formulate a linear programming model to determine the optimal product mix that will maximize profit.
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A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows:
Product | Line 1 | Line 2 |
A | 12 | 4 |
B | 4 | 8 |
Total hours | 60 | 40 |
1) Formulate a linear programming model to determine the optimal product mix that will maximize profit.
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- Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)General Ford has two plants, two warehouses, and threecustomers. The locations of these are as follows:Plants: Detroit and AtlantaWarehouses: Denver and New YorkCustomers: Los Angeles, Chicago, and PhiladelphiaCars are produced at plants, then shipped to warehouses,and finally shipped to customers. Detroit can produce 150cars per week, and Atlanta can produce 100 cars per week.Los Angeles requires 80 cars per week; Chicago, 70; andPhiladelphia, 60. It costs $10,000 to produce a car at eachplant, and the cost of shipping a car between two cities isgiven in Table 62. Determine how to meet General Ford’sweekly demands at minimum cost.A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. Hours/Unit Product Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a. Formulate a linear programming model to determine the optimal product mix that will maximize profit. b. Transform this model into standard form.
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