Solve the problem.A furniture-finishing plant finishes two kinds of tables, A and B. Table A requires 8 minutes of staining and 9 minutes of varnishing, whereas table B requires 12 minutes of staining and 6 minutes of varnishing. The staining facility is available at most 480 minutes per day and the varnishing facility is available at most 360 minutes per day. The plant has to finish at least as many B-tables as half the number of A-tables finished. The profit is $5 on each A-table and $3 on each B-table. (a) Let x be the number of A-tables and y the number of B-tables finished per day. Give all the inequalities that x and y must satisfy.(b) Graph the feasible set for this problem.(c) Find the values of x and y that maximize the profit, and the corresponding profit.
src="https://sciemce.com/media/4/ppg__rrr0625191404__f1q48g1.jpg" alt="" style="vertical-align: 0.0px;" height="200" width="200" />
What will be an ideal response?
(a)
(b)
A = (0, 40), B = (24, 24), C = (30, 15), D = (0, 0)
(c) x = 30, y = 15; maximum profit = $195
Mathematics
src="https://sciemce.com/media/4/ppg__rrr0625191404__f1q48g1.jpg" alt="" style="vertical-align: 0.0px;" height="200" width="200" />
What will be an ideal response?
(a)
(b)
A = (0, 40), B = (24, 24), C = (30, 15), D = (0, 0)
(c) x = 30, y = 15; maximum profit = $195
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