Consider the constraint $2x7Y70$

a$)$

When you plot this constraint for a graphical solution the coordinates for the point on the $x-$axis are:

$$

b$)$

When you plot this constraint for a graphical solution the coordinates for the point on the Y $-$axis are: $,$

$q,$

$q,).$Question $2$

A furniture company produces four types of furniture. Product A requires $5$ board feet of wood. Product B requires $6$ board feet of wood. Product $C$ requires $4$ board feet of wood. Product D requires $15$ board feet of wood. There are $1895$ board feet of wood available.

Set up the constraint for the availability of wood.

$$ A $B$ C $$ D $$

$$Question $3$

Consider the sensitivity report below for a cost minimization problem.

Note: If an answer is infinity enter $1E30$ for positive infinity and $-1E30$ for negative infinity.

a$)$

What is the value of the objective function for the optimal solution?

b$)$

Which of the following constraints are binding?

$($Select all that apply. Points will be deducted for wrong choice.$)$

Antibiotic $1$

Antibiotic $2$

Antibiotic $3$c$)$

What will be the change in the value of the objective function if the Antibiotic $1$ required in the drug is increased by $2\mathrm{.}2$ units?

$$ Round your answer to $1$ decimal place.

d$)$

What will be the change in the value of the objective function if Antibiotic $2$ required in the drug is increased by $1\mathrm{.}3$ units?

$$ Round your answer to $1$ decimal place.

e$)$

What will be the new total cost if the cost per unit of Ingredient $1$ increases by $49?$

Round your answer to $1$ decimal place.

f$)$

What is the range of cost gram Ingredient $1$ within which the current optimal solution will not change?

Lower Limit:

Upper Limitf$)$

What is the range of cost gram Ingredient $1$ within which the current optimal solution will not change?

Lower Limit:

Upper Limit:

g$)$

What is the range of cost gram Ingredient $2$ within which the current optimal solution will not change?

Lower Limit: $q,$ Round your answer to $2$ decimal places.

Upper Limit: $q,$

h$)$

If you increase the amount of Antibiotic $1$ required by the maximum allowed increase without changing its shadow price, what will be the change in the total cost?

$$

i$)$

If you increase the amount of Antibiotic $2$ required by the maximum allowed increase without changing its shadow price, what will be the change in the total cost?