If there is a change in input prices, what is the most likely impact on production
isoquants?
a) They will shift leftward toward the origin.
b) The curvature of the isoquant will change.
c) They will remain unchanged.
d) They will shift outward away from the origin.
e) Uncertain, depends on which input prices change.
A beverage producer produces cola at two bottling plants and distributes it to 4 major
cities in the Southeast. The table below shows the bottling plant capacities, the number
of cases to be shipped to each city, and the transport costs ($ per case) between plants
and cities. The producer’s objective is to meet its delivery requirements while
minimizing its total transport costs.
(a) Formulate the firm’s linear programming problem.
(b) The optimal solution is: XC = 1,200, XD = 1,800, YA = 1,000, YB = 1,400, and YC
= 900. What is the shadow price associated with Plant Y capacity? Show that the
increase in total cost in delivering an additional case to City D is $.20.