Q$2(5$ points$)$

Assume that we have two components $(1,2)$ that are mixed to produce two types of gasoline $(A,B).$ There are $8000$ gallons of component $1$ available and $6000$ gallons of component $2.$ The demand for gasoline types A and B are $11,000$ and $14,000$ gallons, respectively. The cost of component $1$ is $$\frac{7}{?}$ gallon and the cost of component $2$ is $$\frac{5}{g}$allon. Type A is sold for $$\frac{10}{g}$allon and Type B for $$\frac{8}{g}$allon.

a$-$ Formulate this problem as a LP model.

$(4$ points$)$

b$-$ Using the STANDARD FORM, add the following constraint to the formulation "component $2$ cannot account for more than $25\%$ of gasoline Type B$".$

$(1$ point$)$