Exam 6: Systems of Linear Equations and Inequalities

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A health food company mixes dried fruit with walnuts to make a trail mix blend. How many pounds of each ingredient must be mixed if dried fruit sells for $6.63 per pound, walnuts sell for $4.38 per pound, and the company produces 65 pounds per batch valued at $419.70? Let d represent the number of pounds of dried fruit and w the number of pounds of walnuts.

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Solve the system of linear equations by substitution. 5x + 2y = -19 8x - 4y = -52

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Find the value of the objective function z = 2x + 6y at each of the vertices Find the value of the objective function z = 2x + 6y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 2x + 6y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 2x + 6y at each of the vertices       and   and then state the maximum and minimum values of the function. and Find the value of the objective function z = 2x + 6y at each of the vertices       and   and then state the maximum and minimum values of the function. and then state the maximum and minimum values of the function.

(Multiple Choice)
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Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

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Find the value of the objective function z = 8x + 4y at each of the vertices Find the value of the objective function z = 8x + 4y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 8x + 4y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 8x + 4y at each of the vertices       and   and then state the maximum and minimum values of the function. and Find the value of the objective function z = 8x + 4y at each of the vertices       and   and then state the maximum and minimum values of the function. and then state the maximum and minimum values of the function.

(Multiple Choice)
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Solve the system of linear equations by elimination. 5d + 7f = 16 -5d - 3f = -24

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Employ the following supply and demand equations. Employ the following supply and demand equations.     Write a system of linear inequalities corresponding to the producer surplus. Write a system of linear inequalities corresponding to the producer surplus.

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