Question

A local restaurant has promised to provide a combination of hamburger meal and hot dog meal at a local fundraiser. They have promised no fewer than a total of 100 meals. Their capacity is a maximum of 200 meals. The restaurant management has decided that number of hamburger meals cannot be less than the number of hotdog meals. The cost of a hamburger meal is $3 whereas the cost of a hotdog meal is $2. The restaurant wants to minimize their cost. How many hamburger and hotdog meals should they produce

Answer 1

Answer:

Minimize Z = 3x + 2y

Explanation:

Let x represent hamburger meal and let y represent hot dog meal. The objective is to minimize the total cost. The objective function will be

Z = 3x + 2y

The maximum capacity of restaurant is 200 meals while it has minimum cap for 100 meals.