The Only Grocery Store in a Small Rural Community Carries

Short Answer

The only grocery store in a small rural community carries two brands of frozen apple juice, a local brand that it obtains at the cost of 22 cents per can and a well-known national brand that it obtains at the cost of 60 cents per can. The grocer estimates that if the local brand is sold for x cents per can and the national brand for y cents per can, approximately 70 - 5x + 4y cans of the local brand and 80 + 6x - 7y cans of the national brand will be sold each day. How should the grocer price each brand to maximize the profit from the sale of the juice?