Linear Programming — Unit test Answers

The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x.

On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

The constraints of a problem are listed below. What are the vertices of the feasible region?

During free play, there must be more than 4 campers in a group, and the number of boys must not exceed the number of girls by more than 5. Which graph represents this system of inequalities?

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

Which equation represents a linear function?

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

What is the minimum value of C = 7x + 8y, given the constraints on x and y listed below?

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

The constraints of a problem are listed below. What are the vertices of the feasible region?

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

Which ordered pairs are in the solution set of the system of linear inequalities?y > x + 2y < 2x + 3

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?