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?

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

Buying five of each type of plant costs $39, which is the lowest possible cost.

The lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought.

The lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

Question

Nash Hopkins

Mathematics

9 March, 21:30

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?

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

Buying five of each type of plant costs $39, which is the lowest possible cost.

The lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought.

The lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

+5

Answers (2)

Know the Answer?

Carl Kaiser · Answer 1

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

Sandra Mendez · Answer 2

The vertex (5,39)

5 is the value of x. 39 is the value of y. y is the cost function of the minimum value in dollars.

(5,39) vertex means that Buying five of each type of plant costs $39, which is the lowest possible cost.