In: Statistics and Probability
A farm delivers salad boxes to two supermarkets each week; one in Fredericton and one in Oromocto. The store in Fredericton needs at least 150 boxes per week, and the Oromocto store needs at least 92 boxes per week. The farm can send at most 300 boxes per week to these two stores. It costs $2 per box to ship to Fredericton store and $3 per box to ship to Oromocto store. The farm expects to make a profit of $15 per selling a box to Fredericton store, and a profit of $12 for selling a box to Oromocto store. The farm estimates that they need at least $3600 weekly profit. How many salad boxes should be shipped to each store to minimize shipping cost?