Question

A contractor builds two types of homes. The first type requires one lot and 150 labor-days to build and is sold for a profit of $24,000. The second type of home requires one lot and 200 labor-days to build and is sold for a profit of $34,000. The contractor owns 150 lots and has available 24,000 labor-days. How many of each type of home should she build to realize the greatest profit?

Name: a contractor builds two types of homes the first type requires one lot and 150 labor days to build and is sold for a profit of 24000 the second type of home requires one lotand 200 labor day 21759
Uploaded: 2022-07-20T20:09:35-08:00
Duration: 5 min 9 s
Channel: David Mccaslin
Description: a contractor builds two types of homes the first type requires one lot and 150 labor days to build and is sold for a profit of 24000 the second type of home requires one lotand 200 labor day 21759

          A contractor builds two types of homes. The first type requires one lot and 150 labor-days to build and is sold for a profit of $24,000. The second type of home requires one lot and 200 labor-days to build and is sold for a profit of $34,000. The contractor owns 150 lots and has available 24,000 labor-days. How many of each type of home should she build to realize the greatest profit?

Added by Kelly R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert David Mccaslin

07/20/2022

Step 1

Step 1: Set up the objective function to maximize profit: $Z = 24000a + 34000b$. Show more…

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A contractor builds two types of homes. The first type requires one lot and 150 labor-days to build and is sold for a profit of $24,000. The second type of home requires one lot and 200 labor-days to build and is sold for a profit of $34,000. The contractor owns 150 lots and has available 24,000 labor-days. How many of each type of home should she build to realize the greatest profit?