Formulate the appropriate linear programming model

Reference no: EM13257397

A farmer grows wheat and corn on a 45 acre farm. He can asell at most 140 bushels of wheat and 120 busheld of corn. Each acre planted with wheat yields 5 bushels, and each acre planted with corn yields 4 bushels. Wheat sells for $30 a busjel and corn sells for $50 a bushel.

To harvest an acre of wheat required 6 hours of labor; 10 hours are needed to harvest an acre of corn. Up to 350 hours of labor can be purchased at $10/hour. Formulate an LP to maximize the farmers profit.

1.) Clearly define the decision variables.

2.) formulate the appropriate Linear Programming model.

3.) Solve the LP model. Use Lingo or other SW

4.) What is the optimal solution

5.) what is the profit associated with the optimal solution.

6.) are they multiple optimal solutions? WHat is one alternative.

7.) What will be the profit if there were only 40 acres

8.) what will be the profit if the proce of wheat droped to $26

Reference no: EM13257397

Questions Cloud

Ptolemy''s system of planetary motions : Ptolemy's system of planetary motions, as described in the almagest, was based on

Determine what is the output signal-to-noise ratio : An amplifier has a gain Ad,dB = 40 dB. Its common-mode rejection ratio is CMRRdB= 120 dB. It is used to amplify an input which has a 200mV desired signal along with an undesired common-mode signal ("noise").

Strong effect on the us balance of trade : The term "global strategy" describes a strategy in which a multinational corporation markets its goods in at least five continents.

How much will your collection be worth : Your coin collection contains 45 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2055, assuming they appreciate at a 5.6 percent annual rat..

Formulate the appropriate linear programming model : A farmer grows wheat and corn on a 45 acre farm. He can asell at most 140 bushels of wheat and 120 busheld of corn. Each acre planted with wheat yields 5 bushels, and each acre planted with corn yields 4 bushels. Wheat sells for $30 a busjel and corn..

What specific and practical suggestions : Scott wants to begin a weight-loss program. What specific and practical suggestions can you give him to reduce his energy intake?no words limits.

What is the aftertax cost of debt : What is Mullineaux's WACC? (Round your answer to 2 decimal places.

Prepare a classified balance sheet for current year ended : Prepare a classified balance sheet for apple for the current year ended sept. 27. If short term investments = 1170 is given.

What was net income for specific period : Net cash flow from operations for a period was $30,000; Noncash revenues for the period were $11,000. Noncash expenses forthe period were $13,200. What was net income for the period?

User Account

All Pages