The company with manufacturing plants situated in Massachusetts and Virginia has labor-hour and wage requirements for manufacture of 3 inflatable boats as given in following two tables:
Labor Hours per Boat
|
|
Cutting Dept.
|
Assembly Dept.
|
Packaging Dept.
|
One Person boat
|
0.6 hr
|
0.6 hr
|
0.2 hr
|
Two person boat
|
1.0 hr
|
0.9 hr
|
0.3 hr
|
Three person boat
|
1.5 hr
|
1.2 hr
|
0.4 hr
|
Consider matrix L represent labor hours per boat and matrix W signify hourly wages.
a. Find which product is undefined, L*W or W*L?
b. Determine product of one which is defined.
c. Use the results from part b to determine labor costs of the one person boat manufactured in Massachusetts.
d. Write rows and columns of matrix in part b.