2 To produce the new system, the company plans on using resources in two manufacturing plants. The table gives the hours needed for three tasks. For both plants combined, the
company has allocated the following resources on a weekly basis: no more than 8500
hours of motherboard production, no more than 9000 hours of technical labor, and no
more than 12.000 hours of general manufacturing
Resources
Plant 1
Plant 2
(hours per system) (hours per system)
Motherboard production
9
1
Technical labor
9
3
General manufacturing
4
8
a Write inequalities that model the constraints in this situation. Let x represent the
number of gaming systems that will be made in Plant 1, and let y represent the
number of gaming systems that will be made in Plant 2
b. Graph the constraints. Shade the solution region that is common to all of the
inequalities.
c. Identify an ordered pair that satisfies the constraints. Explain what the ordered
pair represents in the context of the situation.