Keystone Homes is planning the layout for the new Emerald Farms subdivision. The site has room for a total of 76 houses, and the builder has $9,000,000 to spend on construction. Standard houses cost $100,000 to build, and generate revenue of $15,000. Deluxe houses cost $260,000 to build and generate a revenue of $10,000. The builder wishes to maximize the revenue of the construction project. Let x represent the number of standard houses built, and let y represent the number of deluxe houses built. (a) State the objective function in terms of x and y (b) Find the set of constraint inequalities that describe the situation. Remember to include any constraints on x and y themselves. (c) Describe, in a couple of complete sentences, the method you would use to find the maximum monthly revenue for the apartment complex. You do not need to carry out the computations
Keystone Homes is planning the layout for the new Emerald Farms subdivision. The site has room for a total of 76 houses, and the builder has $9,000,000 to spend on construction. Standard houses cost $100,000 to build, and generate revenue of $15,000. Deluxe houses cost $260,000 to build and generate a revenue of $10,000. The builder wishes to maximize the revenue of the construction project. Let x represent the number of standard houses built, and let y represent the number of deluxe houses built.
(a) State the objective function in terms of x and y
(b) Find the set of constraint inequalities that describe the situation. Remember to include any constraints on x and y themselves.
(c) Describe, in a couple of complete sentences, the method you would use to find the maximum monthly revenue for the apartment complex. You do not need to carry out the computations
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