You can
put this solution on YOUR website!I'll assume you want to graph the solution process.
Set up an axis system with "d" the horizontal axis and "t" the vertical axis.
d is the #of dinner tables produced; t is the number of coffee tables
Draw a vertical line at d=9 and shade in the area to the right (i.e. d>9)
Draw a horizontal line at t=13 and shade above it (i.e. t> 13)
Form the inequality d+t=30 because the shop can produce at most 30 d's and t's.
Solve that inequality for "t" to get t=-d+30
Draw the line t=-d+30 on your axis.
Find the intersection of the line t=-d+30 and d=9. It is (9,21)
Find the intersection of the line t=-d+30 and t=13. It is (17,13)
You have an Income statement that says Income = 120d + 150t
Substitute (9,21) and then (17,13) into this Income equation to find which
gives the greater Income. That is your maximum Income.
Cheers,
Stan H.
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