Answer:
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.
Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,
The odd multiples of 9, , in the range
form the set
Each member of the set is a term of the arithmetic progression
where the values of range from 0 to 4, or
Putting these facts together, we get the result
Learn more about set-builder notation here: brainly.com/question/17238769