Chapter 6.4, Problem 45E

In Problems 39-47, construct a mathematical model in the form of a linear programming problem. Do not solve.

Human nutrition. A dietician arranges a special diet using foods $L,M,$ and $N$. The table gives the nutritional contents and cost of $1$ ounce of each food. The diet’s daily requirements are at least $400$ units of calcium, at least $200$ units of iron, at least $300$ units of vitamin $\text{A}$, at most $150$ units of cholesterol, and at most $900$ calories. How many ounces of each food should be used in order to meet the diet’s requirements at a minimal cost?