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)

Please solve it as a continuous model

In the lecture, we did formulate the mathematical model for Question 9.1.4. For this model find 1 0 (the optimal value of the objective function (Hint: solve it as a continuous model tulad sol ng 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 a 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 545, 541, $46, $42, and $43 in Plants 1, 2, 3, 4, and respectively. The unit man ufacturing cost of the third product would be 538, 535, and $40 in Plants 1, 2, and 3respectively, whereas Plants 4 and 5 do not have des the capability for producing this product, Sales forecasts indicate des that 600, 1.000, and 800 units of products 1. 2. und 3. respee- les tively, should be produced per day. Plants 1, 2, 3, 4, and I have the capacity to produce 400, 600, 400, 600, and 1,000 units daily 363 ducts production costs are the same at the two plants and the cou or apac shipping for each truck is shown for cach combination of plant ducts and distribution center Distribution Center 1 3 SNOO 1400 300 PROBLEMS respectively, regardless of the product or combination of products prodo involved. Assume that any plant having the capability and capac shipp ity to produce them can produce any combination of the products and d 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 when by con structing the appropriate parameter table. ch) Obtain an optimal solution Plant 9.1-5. Reconsider the P&T Co problem presented in Sec 9.1 You learn that one or more of the stunning cost per truck lo hic in Tihte may change Alightly before shipments total begin More 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