Question

A botanist is using two types of plants for an experiment. She writes inequalities to model the constraints on the number of each type of plant she can use. She uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. If that vertex is (5, 39), what do the coordinates represent

Answer 1

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Explanation:

Answer 2

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Explanation:

Let

x -----> the number of plants of one type

y ----> the number of plants of the other type

we know that

The vertex of the feasible region that results in the minimum value of the cost function is (5,39)

so

That means ----> Buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

therefore

The coordinates represent the numbers of plants of each type she can use and minimize the cost