Chapter 3.3, Problem 52E

TRANSPORTATION Complete the solution to Example $3,$ Section $\mathrm{3.2.}$

APPLIED EXAMPLE 3 A Transportation Problem Curtis-Roe Aviation Industries has two plants, I and II, that produce the Zephyr jet engines used in their light commercial airplanes. There are $100$ units of the engines in Plant I and $110$ units in Plant II. The engines are shipped to two of Curtis-Roe’s main assembly plants, A and B. The shipping costs (in dollars) per engine from Plants I and II to the Main Assembly Plants A and B are as follows:

	To Assembly Plant
From	A	B
Plant I	$100$	$60$
Plant II	$120$	$70$

In a certain month, Assembly Plant A needs $80$ engines, whereas Assembly Plant B needs $70$ engines. Find how many engines should be shipped from each plant to each main assembly plant if shipping costs are to be kept to a minimum.