Construct a mathematical model for each of the following problems. (The answers in the back of the book include both the mathematical model and the interpretation of its solution.) Use matrix inverse methods to solve the model and then interpret the solution. Production scheduling. Labor and material costs for manufacturing two guitar models are given in the table: (A) If a total of $ 3 , 000 a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the $ 3 , 000 indicated in the following table? (B) Is it possible to use an allocation of $ 1 , 600 for labor and $ 1 , 400 for material? Of $ 2 , 000 for labor and $ 1 , 000 for material? Explain.
Construct a mathematical model for each of the following problems. (The answers in the back of the book include both the mathematical model and the interpretation of its solution.) Use matrix inverse methods to solve the model and then interpret the solution. Production scheduling. Labor and material costs for manufacturing two guitar models are given in the table: (A) If a total of $ 3 , 000 a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the $ 3 , 000 indicated in the following table? (B) Is it possible to use an allocation of $ 1 , 600 for labor and $ 1 , 400 for material? Of $ 2 , 000 for labor and $ 1 , 000 for material? Explain.
Solution Summary: The author calculates the number of guitar models produced each week using the allocations of 3,000.
Construct a mathematical model for each of the following problems. (The answers in the back of the book include both the mathematical model and the interpretation of its solution.) Use matrix
inverse methods to solve the model and then interpret the solution.
Production scheduling. Labor and material costs for manufacturing two guitar models are given in the table:
(A) If a total of
$
3
,
000
a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the
$
3
,
000
indicated in the following table?
(B) Is it possible to use an allocation of
$
1
,
600
for labor and
$
1
,
400
for material? Of
$
2
,
000
for labor and
$
1
,
000
for material? Explain.
Finite Mathematics & Its Applications (12th Edition)
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