Prepare a supply of special fertilizer at a minimal cost

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Reference no: EM13761321

A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain:

at least 45 units of phosphate

at least 36 units of nitrate

at least 40 units of ammonium

Fertilizer A costs the shop $.97 per pound and Fertilizer B costs the shop $1.89 per pound. Fertilizer A contains 5 units of phosphate and 2 units of nitrate and 2 units of ammonium. Fertilizer B contains 3 units of phosphate and 3 units of nitrate and 5 units of ammonium.

How many pounds of each fertilizer should the shop use in order to minimize their cost.

Step 1 : Define decision variables

Step 2 : Define objective function

Step 3 : Define constraints

Step 4: Solve

Reference no: EM13761321

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