Answered step by step
Verified Expert Solution
Question
1 Approved Answer
MKP is a farm on which strawberries and tomatoes are planted. The farm has available 300 labor hours per week and 800 tons of fertilizer.
MKP is a farm on which strawberries and tomatoes are planted. The farm has available 300 labor hours per week and 800 tons of fertilizer. The farm contracted shipping space for a maximum of 26 acres' worth of strawberries and 37 acres' worth of tomatoes. An acre of strawberries requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of tomatoes requires 3 hours of labor and 20 tons of fertilizer. The profit from an acre of strawberries is $400 and the profit from an acre of tomatoes is $300. The farmer wants to know the number of strawberries and tomatoes to plant to maximize profit. a) Formulate a linear programming model for this problem. b) Solve this model by using graphical analysis (Use a scale of 1 cm to 10 units) c) Explain the effect on the optimal solution of changing the profit on an acre of strawberries from $400 to $250
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started