Three Types of Fertilizer Are Manufactured by a Company: Regular

question 16

Essay

Three types of fertilizer are manufactured by a company: Regular, Supergro, and Jungle Feeder.Regular should have at least 10 percent nitrogen and 16 percent phosphorous.Supergro should have at least 12 percent nitrogen and 20 percent phosphorous, and Jungle Feeder should have at least 15 percent nitrogen and 18 percent phosphorous.These are made by using two components: A and B.Component A costs $0.30 per pound and is 14 percent nitrogen and 18 percent phosphorous.Component B costs $0.50 per pound and is 20 percent nitrogen and 24 percent phosphorous.The demand for Regular is projected to be 1,000 pounds, while each of the others has a demand of 2,000 pounds.Formulate the appropriate linear program.
Let X₁ = pounds of component A in Regular
X₂ = pounds of component A in Supergro
X₃ = pounds of component A in Jungle Feeder
X₄ = pounds of component B in Regular
X₅ = pounds of component B in Supergro
X₆ = pounds of component B in Jungle Feeder