Consider the Woodstock Company multitime period problem described in Sec. 23.4 (see Table 23.10). Suppose that the company has decided to expand its operation to also buy, store, and sell plywood in this warehouse. For the upcoming year, the relevant data for raw lumber are still as given in Sec. 23.4. The corresponding price data for plywood are as follows:

For plywood stored for sale in a later season, the handling cost is $6 per 1,000 board feet, and the storage cost is $18 per 1,000 board feet. The storage capacity of 2 million board feet now applies to the total for raw lumber and plywood. Everything should still be sold by the end of autumn. The objective now is to determine the most profitable schedule for buying and selling raw lumber and plywood.
(a) Formulate this problem as a multidivisional multitime period linear programming problem.
(b) Construct the corresponding table of constraint coefficients having the form shown in Table 23.12.

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Purchase Price Selling Price Maximum Salest Season 800 Winter Spring Summer Autumn 680 715 760 740 705 730 770 750 1,200 1,500 100