allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.) The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 70,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haultrucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 70,000 gallons, respectively. The total cost (shipping plus price) ofgallons of de-ionized water from each wholesaler to each distribution center is shown in the following table:Question ViewerWholesaler123b. What is the total cost of the solution?A$1.40$1.30$1.50Distribution Centerс$1.40$1.50$1.50a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true?The optimal cost is $ . (Enter your response rounded to the nearest dollar.)B$1.80$1.70$1.40A. The sum of supply capacities equals the sum of demands, so no dummy wholesaler or distribution center is needed. The capacity is fully utilized and the demand is fully satisfied.B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed.C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed.D$1.90$1.60$1.80

Here, we don't need any dummy columns or dummy rows, as the total supply is equal to the total…

a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? OA. The sum of supply capacities equals the sum of demands, so no dummy wholesaler or distribution center is needed. The capacity is fully utilized and the demand is fully satisfied. OB. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. OC. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ (Enter your response rounded to the nearest dollar.)

a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? OA. The sum of supply capacities equals the sum of demands, so no dummy wholesaler or distribution center is needed. The capacity is fully utilized and the demand is fully satisfied. OB. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. OC. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ (Enter your response rounded to the nearest dollar.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 34P

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The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning its long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B C D 1 $1.30 $1.40 $1.80 $1.60 2 $1.30 $1.50 $1.80 $1.60 3 $1.60 $1.40 $1.70 $1.50 Determine the optimal solution. Show that all capacities have been exhausted and that all demands can be met with this solution. (use below table format, numbers are generic, erase them) Distribution Center Supply Wholesaler A B C D 1 xx xx x x 400-200-150-50=0 2…
The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B C D 1 $1.30 $1.40 $1.80 $1.60 2 $1.30 $1.50 $1.80 $1.60 3 $1.60 $1.40 $1.70 $1.50 a. Determine the optimal solution. Show that all capacities have been exhausted and that all demands can be met with this solution. b. What is the total cost of the solution?
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