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Setting matrix for assembly and packaging times

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A company manufactures tables and chairs. Each chair requires 2.5 hours of assembly and 0.5 hours of packaging. Each table requires 5 hours of assembly and 0.65 hours of packaging(Please show all work)

a) Write a matrix A that represents the required time for assembly and packaging of chairs and tables. Label your rows and columns.

b) The company receives an order for 50 chairs and 22 tables. Find a matrix B so that either AB or BA (depending upon how you set up A) gives the total assembly time and packaging time required to fill the order.

c) Multiply the two matrices.

d) What is the total assembly time?

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Solution Summary

The solution gives detailed steps on setting up two matrices and interpreting its meaning. All formula and calculations are shown and explained.

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