Solve the following LP problem to answer the next $5$ questions.

You have three types of clothing items:

T$-$Shirts $($ $$10$ revenue$)$

Jeans $($$$25$ revenue$)$

Jackets $($ $$50$ revenue$)$

You have the following resources:

$500$ yards of cotton

$300$ yards of denim

$200$ yards of leather

$1000$ hours of labor

Resource requirements per clothing item:

AT$-$shirt requires $1$ yard of cotton and $1$ hour of labor.

A pair of jeans requires $2$ yards of denim, $0\mathrm{.}5$ yards of cotton, and $2$ hours of labor.

A jacket requires $1$ yard of leather, $1$ yard of denim, and $5$ hours of labor.

Production constraints:

Produce at least $100$ of each item.

Produce no more than $400$ of any item.

Produce $1$ jeans for every $2$ T$-$shirts.

How much more can we charge for the T$-$shirts without changing the final value?

a$.37$

b$.37\mathrm{.}5$

c$.27\mathrm{.}5$

d$.10$

Clear my choice

How much discount price can we offer on the Jackets without changing the final value?

a$.27\mathrm{.}5$

b$.50$

c$.100$

d$.23$

Which of the constraints is binding?

a$.$ Leather

b$.$ Labor

c$.$ Denim

d$.$ Cotton

If we decide to add one more person to work on this facility, it will add to the total cost of manufacturing?

True

False

How many raw materials items are used up completely after the production is complete?

a$.2$

b$.1$

C$.4$

d$.3$