Exam 4: Graphing and Optimization

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Provide an appropriate response. -Solve the linear system corresponding to the following augmented matrix: Provide an appropriate response. -Solve the linear system corresponding to the following augmented matrix:

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Solve the problem. -Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income From the 8% investment. Find the amount invested at each rate.

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User row operations to change the matrix to reduced form. -User row operations to change the matrix to reduced form. -

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Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. -Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 of corn, and 5 of rye, for $27.60. To a third customer he sold 3 bushels of wheat, 5 of corn, and 2 of rye for $32.70. What was the price per bushel for each of the different grains? Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel for rye.

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Solve the problem. -Your screen print operation is doing extremely well at the craft shows. Last week you sold 50 tie-dyed shirts for $15 each, 40 Cheraw-Tech crew shirts for $10 each and 30 handpainted T-shirts for $12 each. Use matrix Operations to calculate your total revenue for the week.

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Perform the operation, if possible. -Let A = Perform the operation, if possible. -Let A =   an ad B =   . Fi. Fnd AB. an ad B = Perform the operation, if possible. -Let A =   an ad B =   . Fi. Fnd AB. . Fi. Fnd AB.

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Solve the system of equations by graphing. -Solve the system of equations by graphing. -

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Solve the problem. -A company that manufactures laser printers for computers has monthly fixed costs of sts of $177,000 and variable costs of f $650 per unit produced. The company sells the printers for s for $1,250 per uni per unt. How many printers must be sold each month for the company to break even?

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Perform the indicated row operations on the following matrix. Perform the indicated row operations on the following matrix.   - -Perform the indicated row operations on the following matrix.   -

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Identify the row operation that produces the resulting matrix. -Identify the row operation that produces the resulting matrix. -

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Solve the problem. -Given the technology matrix M and the final demand matrix D stated below, find (I - M)-1 and find the output matrix X. Solve the problem. -Given the technology matrix M and the final demand matrix D stated below, find (I - M)-1 and find the output matrix X.

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Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. -If $9,000 is to be invested, part at 13% and the rest at 8% simple interest, how much should be invested at each rate so that the total annual return will be the same as $9,000 invested at 9%? Set up a system of linear equations, letting x1 be the amount invested at 13% and t 13% and Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. -If $9,000 is to be invested, part at 13% and the rest at 8% simple interest, how much should be invested at each rate so that the total annual return will be the same as $9,000 invested at 9%? Set up a system of linear equations, letting x1 be the amount invested at 13% and t 13% and   be the amount invested at 8%. be the amount invested at 8%.

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Perform the operation, if possible. -Let B = -1 6 7 -3 . Find -2B.

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Provide an appropriate response. -Use the augmented matrix to solve the system: Provide an appropriate response. -Use the augmented matrix to solve the system:

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Find the inverse, if it exists, of the given matrix. -Find the inverse, if it exists, of the given matrix. -

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Provide an appropriate response. -Use a graphing utility and augmented matrix methods to solve the system: Provide an appropriate response. -Use a graphing utility and augmented matrix methods to solve the system:   Express your answer accurate to three decimal places. Express your answer accurate to three decimal places.

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Solve using Gauss-Jordan elimination. -Solve using Gauss-Jordan elimination. -

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Solve the system of equations by graphing. -Solve the system of equations by graphing. -

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Use the given encoding matrix A to solve the problem. -A message has been encoded and the matrix which the receiver gets is shown below. Use the given encoding matrix A to solve the problem. -A message has been encoded and the matrix which the receiver gets is shown below.   The encoding matrix A which was used to encode the message is:   Find the decoding matrix x A   , and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a   26, spac spae = 30, period = 40, and apostrophe = 60. The encoding matrix A which was used to encode the message is: Use the given encoding matrix A to solve the problem. -A message has been encoded and the matrix which the receiver gets is shown below.   The encoding matrix A which was used to encode the message is:   Find the decoding matrix x A   , and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a   26, spac spae = 30, period = 40, and apostrophe = 60. Find the decoding matrix x A Use the given encoding matrix A to solve the problem. -A message has been encoded and the matrix which the receiver gets is shown below.   The encoding matrix A which was used to encode the message is:   Find the decoding matrix x A   , and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a   26, spac spae = 30, period = 40, and apostrophe = 60. , and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a Use the given encoding matrix A to solve the problem. -A message has been encoded and the matrix which the receiver gets is shown below.   The encoding matrix A which was used to encode the message is:   Find the decoding matrix x A   , and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a   26, spac spae = 30, period = 40, and apostrophe = 60. 26, spac spae = 30, period = 40, and apostrophe = 60.

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Perform the operation, if possible. -Let A = Perform the operation, if possible. -Let A =   an ad B =   . . Find A + B. an ad B = Perform the operation, if possible. -Let A =   an ad B =   . . Find A + B. . . Find A + B.

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