An ice cream supplier has two machines that produce vanilla and chocolate ice cream.To meet one of its contractual obligations, the company must produce at least 11 gallons of vanilla ice cream and 90 gallons of chocolate ice cream per day.One machine makes 5 gallons of vanilla and 6 gallons of chocolate ice cream per hour.The second machine makes 1 gallons of vanilla and 14 gallons of chocolate ice cream per hour.It costs $21 per hour to run machine 1 and $26 per hour to run machine 2.How many hours should each machine be operated to fulfill the contract at the least expense?
A) Machine 1 for 6 hours and machine 2 for 1 hour.
B) Machine 1 for 1 hour and machine 2 for no hours.
C) Machine 1 for 1 hour and machine 2 for 6 hours.
D) Machine 1 for 6 hours and machine 2 for no hours.
E) Machine 1 for no hours and machine 2 for 1 hour.

Question

Quizplus · Accepted Answer

Machine 1 produces 5 gallons of vanilla and 6 gallons of chocolate per hour, while machine 2 produces 1 gallon of vanilla and 14 gallons of chocolate per hour. To meet the minimum requirements of 11 gallons of vanilla and 90 gallons of chocolate, operating machine 1 for 1 hour and machine 2 for 6 hours will produce exactly 11 gallons of vanilla (5 from machine 1 and 6 from machine 2) and 90 gallons of chocolate (6 from machine 1 and 84 from machine 2) at the least cost.

An Ice Cream Supplier Has Two Machines That Produce Vanilla