From the information, observe that during the next four quarters, Dorian Auto must meet the demand for cars.

Consider the following events:

x_t = Number of cars produced at the beginning of each quarter(t=1,2,3,4)

d_t = Demand during each quarter t

i_t = Number of cars on hand at end of time t

Total cost (TC) = {cost of increasing quarterly production capacity+cost of maintaining a car of production capacity+variable cost of producing a car+holding cost}

Total cost (TC) = 100(x_t+1)+50(i_t+x_t-d_t)+2000x_t+150(i_t+x_t-d_t)

Inventory at end of quarter t={inventory at end of quarter(t-1)+(quartertproduction-demand oftquarter)}

i_t = i_t-1+(x_t-d_t)

For 1^st quarter,

i₁=300+x₁-4000

For 2^nd quarter,

i₂=i₁+x₂-2000

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Chapter 4, Problem 23RP

Chapter 4, Problem 26RP

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Chapter 4 Solutions

OPERATIONS RESEARCH >INTERNATIONAL EDITI

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.4 - Prob. 1P Ch. 4.4 - Prob. 2P Ch. 4.4 - Prob. 3P Ch. 4.4 - Prob. 4P Ch. 4.4 - Prob. 5P Ch. 4.4 - Prob. 6P Ch. 4.4 - Prob. 7P

Ch. 4.5 - Prob. 1P Ch. 4.5 - Prob. 2P Ch. 4.5 - Prob. 3P Ch. 4.5 - Prob. 4P Ch. 4.5 - Prob. 5P Ch. 4.5 - Prob. 6P Ch. 4.5 - Prob. 7P Ch. 4.6 - Prob. 1P Ch. 4.6 - Prob. 2P Ch. 4.6 - Prob. 3P Ch. 4.6 - Prob. 4P Ch. 4.7 - Prob. 1P Ch. 4.7 - Prob. 2P Ch. 4.7 - Prob. 3P Ch. 4.7 - Prob. 4P Ch. 4.7 - Prob. 5P Ch. 4.7 - Prob. 6P Ch. 4.7 - Prob. 7P Ch. 4.7 - Prob. 8P Ch. 4.7 - Prob. 9P Ch. 4.8 - Prob. 1P Ch. 4.8 - Prob. 2P Ch. 4.8 - Prob. 3P Ch. 4.8 - Prob. 4P Ch. 4.8 - Prob. 5P Ch. 4.8 - Prob. 6P Ch. 4.10 - Prob. 1P Ch. 4.10 - Prob. 2P Ch. 4.10 - Prob. 3P Ch. 4.10 - Prob. 4P Ch. 4.10 - Prob. 5P Ch. 4.11 - Prob. 1P Ch. 4.11 - Prob. 2P Ch. 4.11 - Prob. 3P Ch. 4.11 - Prob. 4P Ch. 4.11 - Prob. 5P Ch. 4.11 - Prob. 6P Ch. 4.12 - Prob. 1P Ch. 4.12 - Prob. 2P Ch. 4.12 - Prob. 3P Ch. 4.12 - Prob. 4P Ch. 4.12 - Prob. 5P Ch. 4.12 - Prob. 6P Ch. 4.13 - Prob. 2P Ch. 4.14 - Prob. 1P Ch. 4.14 - Prob. 2P Ch. 4.14 - Prob. 3P Ch. 4.14 - Prob. 4P Ch. 4.14 - Prob. 5P Ch. 4.14 - Prob. 6P Ch. 4.14 - Prob. 7P Ch. 4.16 - Prob. 1P Ch. 4.16 - Prob. 2P Ch. 4.16 - Prob. 3P Ch. 4.16 - Prob. 5P Ch. 4.16 - Prob. 7P Ch. 4.16 - Prob. 8P Ch. 4.16 - Prob. 9P Ch. 4.16 - Prob. 10P Ch. 4.16 - Prob. 11P Ch. 4.16 - Prob. 12P Ch. 4.16 - Prob. 13P Ch. 4.16 - Prob. 14P Ch. 4.17 - Prob. 1P Ch. 4.17 - Prob. 2P Ch. 4.17 - Prob. 3P Ch. 4.17 - Prob. 4P Ch. 4.17 - Prob. 5P Ch. 4.17 - Prob. 7P Ch. 4.17 - Prob. 8P Ch. 4 - Prob. 1RP Ch. 4 - Prob. 2RP Ch. 4 - Prob. 3RP Ch. 4 - Prob. 4RP Ch. 4 - Prob. 5RP Ch. 4 - Prob. 6RP Ch. 4 - Prob. 7RP Ch. 4 - Prob. 8RP Ch. 4 - Prob. 9RP Ch. 4 - Prob. 10RP Ch. 4 - Prob. 12RP Ch. 4 - Prob. 13RP Ch. 4 - Prob. 14RP Ch. 4 - Prob. 16RP Ch. 4 - Prob. 17RP Ch. 4 - Prob. 18RP Ch. 4 - Prob. 19RP Ch. 4 - Prob. 20RP Ch. 4 - Prob. 21RP Ch. 4 - Prob. 22RP Ch. 4 - Prob. 23RP Ch. 4 - Prob. 24RP Ch. 4 - Prob. 26RP Ch. 4 - Prob. 27RP Ch. 4 - Prob. 28RP

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Solution Summary: The author explains that Dorian Auto must meet the demand for cars during the next four quarters.

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Chapter 4 Solutions