Question $17(12$ points$)$

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Question $17$ options:

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Final

Reduced

Objective

Allowable

Allowable

Name

Value

Cost

Coefficient

Increase

Decrease

Product $1$

$250\mathrm{.}0$

$-$

$50\mathrm{.}0$

$1$E$+30$

$12\mathrm{.}6$

Product $2$

$-$

$(12\mathrm{.}8)$

$30\mathrm{.}0$

$12\mathrm{.}8$

$1$E$+30$

Product $3$

$80\mathrm{.}0$

$-$

$27\mathrm{.}0$

$27\mathrm{.}0$

$18\mathrm{.}0$

Product $4$

$-$

$(6\mathrm{.}3)$

$25\mathrm{.}0$

$6\mathrm{.}3$

$1$E$+30$

Product $5$

$420\mathrm{.}0$

$-$

$9\mathrm{.}0$

$18\mathrm{.}0$

$4\mathrm{.}5$

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Final

Shadow

Constraint

Allowable

Allowable

Name

Value

Price

R$.$H$.$ Side

Increase

Decrease

Raw$1$

$1,015\mathrm{.}0$

$-$

$1,200\mathrm{.}0$

$1$E$+30$

$185\mathrm{.}0$

Raw$2$

$500\mathrm{.}0$

$18\mathrm{.}7$

$500\mathrm{.}0$

$300\mathrm{.}0$

$500\mathrm{.}0$

Raw$3$

$700\mathrm{.}0$

$7\mathrm{.}2$

$700\mathrm{.}0$

$264\mathrm{.}3$

$200\mathrm{.}0$

Labor

$1,080\mathrm{.}0$

$-$

$1,200\mathrm{.}0$

$1$E$+30$

$120\mathrm{.}0$

Capacity

$750\mathrm{.}0$

$5\mathrm{.}4$

$750\mathrm{.}0$

$150\mathrm{.}0$

$350\mathrm{.}0$

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Which resource would be worth most if we could obtain one more unit?

A$.$ Labor

B$.$ Raw $1$

C$.$ Raw $2$

D$.$ Raw $3$

E$.$ Capacity

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An additional unit Capacity is worth?

$1$ decimal place

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Ten more units of Raw $3$ is worth?

$1$ decimal place

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The objective function coefficient for product $2($P$2)$ could increase to a value of $\_\_\_\_\_\_$ without changing the solution quantities?

$1$ decimal places$$

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Which of the following constrints has slack?

A$.$ Raw $1$

B$.$ Raw $2$

C$.$ Raw $3$

D$.$ Capacity

We need to get the tomatoes from farm to the stores. We have tomato farms we can buy from in California and Florida. It cost $\mathrm{.}5$ per pound to buy tomatoes from California. It costs $\mathrm{.}75$ per pound to buy Florida tomatoes. California has available $6,000$ pounds of tomatoes and Florida has available $8,000$ pounds of tomatoes. Our stores are in Tampa, Atlanta and Dallas. Tampa needs $3,000$ pounds, Atlanta needs $4,000$ pounds and Dallas needs $5,000$ pounds. Shipping costs per pound are as follows.

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To

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From

Tampa

Atlanta

Dallas

CA

$0\mathrm{.}5$

$0\mathrm{.}35$

$0\mathrm{.}15$

FL

$0\mathrm{.}05$

$0\mathrm{.}15$

$0\mathrm{.}35$

The constraint for making sure CA does not ship to many tomatoes is$?$

No decimal places no commas