1. How many corner points exist for the feasible solution? 2. One corner point does NOT lie on the x or y axis, what is the x-value of this corner point?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 52P
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A farm consists of 240 acres of land. The farmer plans to plant corn (x) and oats (y). Profit per acre
in corn is $40 and in oats is $30. The number of labor hours is 320; where each acre of corn requires
2 hours, and oats require 1 hour per acre. Determine the number of acres of corn and of oats that
should be planted to maximize profit.
Graph the feasible solution and find the corner points.
1. How many corner points exist for the feasible solution?
2. One corner point does NOT lie on the x or y axis, what is the x-value of this corner point?
3. What is the maximum profit?
Do NOT put a comma nor $ sign in your
answer for the thousands mark (i.e., use 2000 and NOT $2,000.00). You may round your answer to
the nearest dollar.
32"F Cloudy
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Transcribed Image Text:A farm consists of 240 acres of land. The farmer plans to plant corn (x) and oats (y). Profit per acre in corn is $40 and in oats is $30. The number of labor hours is 320; where each acre of corn requires 2 hours, and oats require 1 hour per acre. Determine the number of acres of corn and of oats that should be planted to maximize profit. Graph the feasible solution and find the corner points. 1. How many corner points exist for the feasible solution? 2. One corner point does NOT lie on the x or y axis, what is the x-value of this corner point? 3. What is the maximum profit? Do NOT put a comma nor $ sign in your answer for the thousands mark (i.e., use 2000 and NOT $2,000.00). You may round your answer to the nearest dollar. 32"F Cloudy ype here to search
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