Linear Programming - Quiz Quiz Answers

The constraints of a problem are listed. What are the vertices of the feasible region? 2 x plus 3 y is greater than or equal to 12 5 x plus 2 y is greater than or equal to 15 x is greater than or equal to 0 y is greater than or equal to 0

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 open paren 5 comma 39 close paren , what do the coordinates represent?

Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for 5 dollars each and zucchini bread loaves for 4 dollars each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem?

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1 third cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1 half cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for 12 dollars each and trays of bran muffins for 9 dollars each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and y represent the number of trays of bran muffins Alan bakes. What are the constraints for the problem?

The vertices of a feasible region are open paren 14 comma 2 close paren , open paren 0 comma 9 close paren , open paren 6 comma 8 close paren , and open paren 10 comma 3 close paren What is the maximum value of the objective function cap p if cap p is equal to 180 x plus 250 y ?

The constraints of a problem are listed. What are the vertices of the feasible region? x plus y is less than or equal to 7 x minus 2 y is less than or equal to negative 2 x is greater than or equal to 0 y is greater than or equal to 0

Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge 6 dollars for a tray of dog bone treats and 7 dollars for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats. When writing constraints for the problem, which definition for the variables x and y can be used to determine the maximum?

What is the maximum value of cap p is equal to 4 x plus 2 y , given the constraints on x and y listed? x plus 2 y is less than or equal to 10 y is less than or equal to 2 x is greater than or equal to 0 y is greater than or equal to 0

Which ordered pair minimizes the objective function cap c is equal to 60 x plus 85 y ?

Which ordered pair maximizes the objective function cap p is equal to 3 x plus 8 y ?