Identify the independent and dependent variables.
1 answer:
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Answer:
- 18 Type A bags
- 24 Type B bags
Step-by-step explanation:
The graph shows the constraints and the boundaries of the feasible region. The maximum profit will be had with the manufacture of 18 Type A bags and 24 Type B bags.
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The inequality describing the constraint on cutter hours is ...
2a +3b ≤ 108
The inequality describing the constraint on finisher hours is ...
3a +1b ≤ 78
The boundary lines of the solution regions of these inequalities intersect at ...
(a, b) = (18, 24)
The profit function is such that it doesn't pay to make all of one type or the other bags. The most profit is had for the mix ...
18 Type A bags; 24 Type B bags.
On the graph, the line representing the profit function will be as far as possible from the origin at the point of maximum profit.
When multiplying two equations like this, you need to distribute. Distribute each term to get <span><span><span><span><span><span>3<span>x</span></span></span></span></span></span></span>
<span><span><span><span><span>+ <span>3</span></span></span></span></span></span>
<span><span><span><span>− <span>26</span></span></span></span></span>
<span><span><span>−<span>14</span></span></span></span>
<span><span>−<span>15</span></span></span>
<span>−<span>24x</span></span>+<span>3</span>