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Part $1$

The reduced costs indicate

$$

$$

how much the cost needs to be increased

how much the demand needs to be reduced

how much the cost needs to be reduced

how much the demand needs to be increased

in order for the optimal solution for that variable to become

$$

$$

positive.

zero.

For$$ example, the reduced cost of

enter your response here

for Akron to Indianapolis indicates by how much the

$$

$$

shipping cost

capacity

demand

would need to change in order for shipping on this route to become profitable. The reduced cost of

enter your response here

for Evansville to Chicago and the reduced cost of

enter your response here

for Evansville to Pittsburgh are interpreted similarly.

The shadow prices for Akron and Evansville tell how much the

$$

$$

demand

capacity

shipping cost

will change if the

$$

$$

demand

cost

capacity

increases by $1.$ For$$ Akron, a

$$

$$

capacity

demand

cost

increase of $1$ will result in a cost reduction of

$$$enter your response here$,$

up to an increase of

enter your response here

units. For$$ Evansville, the shadow price of

$$$enter your response here

means that a capacity increase of $1$ will result in

$$

$$

a cost increase of $$0\mathrm{.}01.$

a cost reduction of $$0\mathrm{.}01.$

no cost reduction.

The shadow prices for$$ Chicago, Cincinnati,$$ Indianapolis, and Pittsburgh tell how much the

$$

$$

demand

capacity

cost

will change if the

$$

$$

capacity

cost

demand

increases by $1.$ For$$ example, the shadow price of

$$$enter your response here

for Chicago indicates the

$$

$$

capacity

total shipping cost

demand

will change by this much per$$ unit, up to an increase of

enter your response here

units. The shadow prices of

$$$enter your response here

for$$ Cincinnati,

$$$enter your response here

for$$ Indianapolis, and

$$$enter your response here

for Pittsburgh are interpreted similarly.