Misha and Dontavious were asked to solve the following problem using linear programming. A local school district can operate a large bus for $300 per day and a small bus for $200 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperones to have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for the transportation for the field trip?

Misha decided the following represented this situation:

Let x = number of large buses

Let y = number of small buses

Objective Fx: C = 300x + 45y

Constraints:

200 + 60y > 360

x + y ≤ 7

x ≥ 0

y ≥ 0

Dontavious decided the following represented this situation:

Let x = number of large buses

Let y = number of small buses

Objective Fx: C = 300x + 200y

Constraints:

60x + 45y ≥ 360

x + y ≤ 7

x ≥ 0

y ≥ 0

Decide which student set up the correct Objective function and Constraints and using that information answer the following:

a) What are the vertices for the correct feasible region?

b) What is the minimum cost for transportation for the field trip and how did you arrive at this cost?

Please explain the whole process

70,000 + 6,000 + 800 + 30

step-by-step explanation:

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

i have no clue what you just said. write a question in english?