Chandler Oil Company has $5000$ barrels of oil$1$ and $10000$barrels of oil$2.$ The company sells two

products gasoline and hea$>$ng oil. Both the products are produced by combining oil $1$ and oil $2.$

The quality level of the inputs or ingredients are different; the quality level of oil$1$ is $10$; the

quality level of oil$2$ is $5.$ Gasoline must have an average quality of level of at least $8,$ and hea$>$ng

oil must have a quality level of at least $6.$ Demand for each product is created by adver$>$sement.

Each dollar spent adver$>$sing gasoline creates a demand of $5$ barrels for gasoline; each dollar

spent adver$>$sing hea$>$ng oil creates a demand of $5$ barrels for hea$>$ng oil. Gasoline is sold for

$$25$ per barrel, and hea$>$ng oil is sold for $$20$ per barrel. Formulate and LP to help Chandler

maximize profit. Assume that addi$>$onal amounts of oil$1$ or oil$2$ cannot be purchased.

$($Hint the quality level of the products would be calculated by taking the weighted average of the

quality of the input oils$)$