Joey is buying plants for his gardenHe wants to have at least twice as many flowering plants as nonflowering plants and a minimum of 36 plants in his gardenFlowering plants sell for $8, and nonflowering plants sell for $5Joey wants to purchase a combination of plants that minimizes costLet x represent the number of flowering plants and y represent the number of nonflowering plants.

What are the vertices of the feasible region for this problem?

The vertices of Feasible region are .

Step-by-step explanation:

Given that,

He wants to have at least twice as many flowering plants as nonflowering plants.

Let  number of flowering plants be .

and number of non-flowering plant be .  

According to question,

Inequality form by from given situation is :

                                                              ..............(1)

 And Minimum number of flowers should in Garden must be represented by the Inequality is :

                                                       .................(2)

Cost of x flowering plants be  .

Cost of y nonflowering plants be

Also, he has to minimize the cost then Inequality will be  

                Minimum cost  

Now,

The feasible solution are one who satisfy the constraints (1) & (2).

So, Solving Constraints (1) & (2) we get

putting the value of equation (1) in equation (2)

then                            

Again Solving Equation (1) & (1) we get, &

Hence,

The vertices of Feasible region are .

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

the answer is 48m^2!

step-by-step explanation: