Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products.
(a) If each truck can carry 8000 cu ft and 12,400 lb and is insured for $526,000, how many units of each product can be carried?
(b) If the insured value increases by $64,000, find the new delivery scheme and explain how it is related to the inverse matrix used in (a).

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Product Product Product A В Unit volume (cu ft) 24 20 40 Weight (Ib) Value ($) 40 30 60 1500 1800 2000