Question

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel, y, has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $60,000 to operate a type A vessel and $54,000 to operate a type B vessel for that period. (a) How many of each type of vessel should be used to keep the operating costs C to a minimum? The minimum is C = 282000 Iv at (x, y) = ( 2,3 (b) Suppose C = cx + 54,000y. Find the range of values that the cost of operating a type A vessel, the coefficient c of x, can assume without changing the optimal solution. 40500 SCS 72000 (c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.) < (Requirement 1) (d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.) Enter a number.

I only need help with part d, how to find the shadow price.

Answer 1

Any doubt in this then comment below..

This can be find by last optimal simplex table...

& Noooo) hooons sit бо ( toy > 160x + b2 g 3, 680 4 420 By simplex table y grovo 3 o I 1/35 3/280 G ZG o o -1800 -1800 - 278.5714 - 278.8 214 Shodow price of ! (;r 2y for si 1300 - 257.14 1800