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?
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.

Answer 1

Answer:

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

Step-by-step explanation:

Linear programming is a method used to maximize or minimize a linear function of several variables like output or cost.

Given vertex is (5,39).

A botanist uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function.

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

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.