Operations Research Answers

a) A Company has factories at A, B and C which supply warehouses at D, E and F. Weekly factory capacities are 200, 160 and 90 units. Weekly warehouse requirements (demand) are 180, 120 and 150 units respectively. Unit shipping costs (in kshs) are as follows

Factory D E F Capacity
A 16 20 12 200
B 14 8 18 160
C 26 24 16 90
Demand 180 120 150 450
Draw the transportation tableau and show whether it is a degenerate or a non-degenerate problem.

The Make-It-Good manufacturing company produces three products, Widgets, Mingets, and Tringles.

During a given year they plan to produce a total of 13,000 units of these products.

The per unit production costs for Widgets, Mingets, and Tringles are $4, $5, and $7 respectively.

The per unit profit for the Widgets, Mingets, and Tringles is $1, $2, and $3 respectively.

If the production costs are to be $70,000 and the desired profit is $27,000, how many of each product should the company produce?

Set up the solution: define variables and determine the equations. Then, solve the system of equations using any valid method, and answer the question asked in the problem.

The forward and backward recursive formulation in Dynamic programming
techniques can result in different optimum solutions to the same problem.