DQuestion 3 The Quality Lawn Company uses two types of fertilizer products (Type

Question

DQuestion 3 The Quality Lawn Company uses two types of fertilizer products (Type S & Type O) to make it's fertilizer blend. To make the fertilizer blend, each of the 2 fertilizer products has to contain a certain amount of weed control, nitrogen, and bug resistance, as shown in the table below. The blend needs to contain at least 300 units of weed control, at least 400 units of nitrogen, and at least 750 units of bug resistance Type S fetlzer costs $1 & Type O fertilizer costs $2. The Quality Lawn Company is trying to minimize its costs, determine the binding constraint(s). Weed control 1 Nitrogen Bug Resistance 2 O Bug resistance&Weed; control O Weed control OBug resistance O Weed control& Nitrogen Bug Resistance& Nitrogen

Explanation / Answer

Let x be the units of S and y be the units of O

So,

Minimize x*1+y*2

s.t.

x+y>=300

2x+y>=400

2x+5y>=750

Hence, x=250 and y=50

Weed control comes out to be 300, nitrogen comes out to be 550, bug resistance comes out to be 750

hence, weed control and bug resistance are binding

contraints

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