Reference no: EM13314457

A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is $40/acre, whereas that of crop B is $60/acre. The farmer has a maximum of $7400 available for land cultivation. Each acre of crop A requires 20 labor hours, and each acre of crop B requires 25 labor hours. The farmer has a maximum of 3300 labor hours available. If she expects to make a profit of $150/acre on crop A and $200/acre on crop B, how many acres of each crop should she plant in order to maximize her profit?

NOTE:Use letters xand y to represent unknown variables.

- formulate the LPP properly

- solve the LPP graphically, shade in obtained feasible set, identify all its vertices, draw a clear conclusion

- continue with MS output that should prove your previous result

- perform a sensitivity analysis: interpret all values of slack/surplus variables (also in case it equals zero); interpret all obtained values of dual prices (only for those that are different from zero); from "objective coefficient ranges" select only one variable and interpret its lower and upper limits; from "right hand side ranges" select only one constraint and interpret its lower and upper limits. Do not construct any hypothetical examples/situations.