You have two plants: one in CO and the other in SC. The total production capacit

Question

You have two plants: one in CO and the other in SC. The total production capacity in CO and SC are respectively 250 and 400 units. The demand at the warehouses located in CA, TX, and OH are respectively 225, 240, and 185 units. The unit shipment costs between the plant and warehouse locations are as follows: CA TX OH CO 1268 1083 1331 SC 2843 1194 605 Allocate the demand from these warehouses to the two plants such that the transportation costs are minimized. Given the following notation, how do you express the capacity limitation that "the total amount shipped out of the plant at CO can not exceed the capacity of that plant"? x11 = Amount shipped from the plant in CO to the warehouse in CA x12 = Amount shipped from the plant in CO to the warehouse in TX x13 = Amount shipped from the plant in CO to the warehouse in OH x21 Amount shipped from the plant in SC to the warehouse in CA x22 = Amount shipped from the plant in SC to the warehouse in TX x23 Amount shipped from the plant in SC to the warehouse in OH Select one: O a. x1 1 + x12 + x13 = 250 c. x1 1 + xl 2 + x13+x21 + x22 + x23 >= 250 d, x1 1 + x12+x13+x21 + x22 + x23

Explanation / Answer

Ans A

The warehouse representing shipping out from CO are x11, x12, x13

The maximum at CO is 250

So, x11 + x12 + x13 <= 250

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