A consumer electronics company makes two different types of smart phones, the ją and the jg+. Suppose that j, corresponds to a new smart phone produced by the company. The manufacturing cost includes labor, materials, and overhead (facilities, etc.). The company's costs (in dollars) per unit for each type are summarized in the following table. ja j8+ jg Labor 57 73 81 Materials 93 101 113 Overhead 29 34 38 Suppose T is the linear transformation that takes as input a vector of unit counts for jg's, jg+'s, and jo's respectively, and produces for output a vector of total labor, material, and overhead, respectively. Find a formula for T. (A graphing calculator is recommended.) -223. T(x) = Determine 7-1, and use it to find the production level for each type of phone that will result in the given costs. Labor $1768, Materials = $2528, Overhead = $839 (1gr Jg+r jg) = ( j8+

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A consumer electronics company makes two different types of smart phones, the ją and the j+. Suppose that j, corresponds to a new smart phone produced by the company. The manufacturing cost includes
labor, materials, and overhead (facilities, etc.). The company's costs (in dollars) per unit for each type are summarized in the following table.
ja
j8+
Labor
57 73 81
Materials 93 101 113
Overhead 29 34 38
Suppose T is the linear transformation that takes as input a vector of unit counts for jg's, jg+'s, and jo's respectively, and produces for output a vector of total labor, material, and overhead, respectively. Find a
formula for T. (A graphing calculator is recommended.)
T(x) =
وز
(jg j8+ jg) = |
X
Determine 7-1, and use it to find the production level for each type of phone that will result in the given costs.
Labor = $1768, Materials = $2528, Overhead = $839
Transcribed Image Text:A consumer electronics company makes two different types of smart phones, the ją and the j+. Suppose that j, corresponds to a new smart phone produced by the company. The manufacturing cost includes labor, materials, and overhead (facilities, etc.). The company's costs (in dollars) per unit for each type are summarized in the following table. ja j8+ Labor 57 73 81 Materials 93 101 113 Overhead 29 34 38 Suppose T is the linear transformation that takes as input a vector of unit counts for jg's, jg+'s, and jo's respectively, and produces for output a vector of total labor, material, and overhead, respectively. Find a formula for T. (A graphing calculator is recommended.) T(x) = وز (jg j8+ jg) = | X Determine 7-1, and use it to find the production level for each type of phone that will result in the given costs. Labor = $1768, Materials = $2528, Overhead = $839
Expert Solution
Step 1

With the help of gauss elimination method we calculate the inverse of the matrix

Then with the help of equation of system we find J8,J8+,J9

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