1.In the lecture, we did formulate the mathematical model for Question 9.1.4. For this model find the optimal value of the objective function (Hint: solve it as a continuous model)

S. Plants respec- ments per tributing structing the appropriate parameter table. C (e) Obtain an optimal solution. 9.1-4. The Versatech Corporation has decided to produce three new products. Five branch plants now have excess product capacity. The unit manufacturing cost of the first product would be $31, $29, $32, $28, and $29 in Plants 1, 2, 3, 4, and 5, respectively. The unit manufacturing cost of the second product would be $45, $41, $46, $42, and $43 in Plants 1, 2, 3, 4, and 5, respectively. The unit man- ufacturing cost of the third product would be $38, $35, and $40 in Plants 1, 2, and 3, respectively, whereas Plants 4 and 5 do not have the capability for producing this product. Sales forecasts indicate that 600, 1,000, and 800 units of products 1, 2, and 3, respec- tively, should be produced per day. Plants 1, 2, 3, 4, and 5 have the capacity to produce 400, 600, 400, 600, and 1,000 units daily, 4 00 miles 200 miles 00 miles PROBLEMS and respectively, regardless of the product or combination of products pro involved. Assume that any plant having the capability and capac shi ity to produce them can produce any combination of the products in any quantity Management wishes to know how to allocate the new prod- ucts to the plants to minimize total manufacturing cost. (a) Formulate this problem as a transportation problem by con- structing the appropriate parameter table. C (b) Obtain an optimal solution. Plar