Brew ha ha coffee & tea company produces two types of coffee blends: morning, x , and house, y . the morning blend has 9 oz of guatemalan coffee and 7 oz of brazilian coffee, and the house blend has 6 oz of guatemalan coffee and 10 oz of brazilian coffee. the company makes $2 in profit from each bag of morning blend sold and $2.50 in profit from each bag of house blend sold. the company has 400oz of both the guatemalan and brazilian coffees available.

this set of inequalities represents the constraints in this situation.

9x+6y≤400
7x+10y≤400
x≥0
y≥0

the company wants to maximize its profits by using the objective function p = 2x + 2.5y

what is the maximum profit?