A land developer owns a piece of land surrounding a lake. The developer needs to decide how to divide the land into lots for lakeside

homes and regular homes in order to make the maximum profit.

Lake front home: The developerís cost is $150,000; the profit over cost is $50,000.

Regular home: The developerís cost is $100,000; the profit over cost is $23,000.

There is enough land for at most 20 homes.

There must be a minimum of 10 regular homes.

The developer can invest no more than $2,200,000.

Use linear programming to find how many lake front and regular homes the develope

Question

A land developer owns a piece of land surrounding a lake. The developer needs to decide how to divide the land into lots for lakeside

homes and regular homes in order to make the maximum profit.

Lake front home: The developerís cost is $150,000; the profit over cost is $50,000.

Regular home: The developerís cost is $100,000; the profit over cost is $23,000.

There is enough land for at most 20 homes.

There must be a minimum of 10 regular homes.

The developer can invest no more than $2,200,000.

Use linear programming to find how many lake front and regular homes the develope