Question

A grocery store manager must decide how to best present a limited supply of milk and cookies to its customers. Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen. To increase appeal to customers, one gallon of milk and a dozen cookies can be packaged together and are then sold for a profit of $3.00 per bundle. The manager has 100 gallons of milk and 150 dozen cookies available each day. The manager has decided to stock at least 75 gallons of milk per day and demand for cookies is always 140 dozen per day. To maximize profits, how much of each product should the manager stock. Which of the following is the constraint that limits the amount of milk the store will use (both in bundles and sold separately) each day

Answer 1

m + b ≤ 100 (100 gallons of milk available per day)

Step-by-step explanation:

there are no options available, so I will prepare my own equations:

the profit function = 1.5m + 2.5c + 3b

where m = gallon of milk, c = dozen of cookies, b = bundle

we need to maximize profits, therefore the constraints will be:

• m + b ≤ 100 (100 gallons of milk available per day)
• c + b ≤ 150 (150 dozen cookies available per day)
• m + b ≥ 75 (at least 75 gallons of milk are stocked per day)
• c + b = 140 (daily demand for dozens of cookies)
• m + c + b ≥ 0 (demand is positive)