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