Linear Programming — Unit test Answers

Consider the solution to the system of inequalities below.Which of the following functions could be added to the system without changing the solution set?

Which statement describes the solution to the system of equations?

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

Which equation can pair with x – y = –2 to create a consistent and dependent system?

Which ordered pair (c, d) is the solution to the given system of linear equations?

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below?

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?

Which graph shows the solution to the following system of inequalities?

Solve the system of equations below by graphing. What is the solution rounded to the nearest hundredth?

What is the solution to the system of equations?

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

Which ordered pair (a, b) is the solution to the following system of equations?

Solve the system of equations below by graphing. What is the solution rounded to the nearest tenth?

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination?

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

Which statement about the following system of inequalities is true?

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

Which region represents the solution to the given system of inequalities?

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

Which statement describes the system of equations?