Outdoor Furniture Swings
Posted in Garden Furnishing on 09/08/2009 12:55 am by admin
HELP! Can you tell me the system of inequalities for this problem?
It takes an outdoor furniture company 2 hours of cutting and 4 hours of constructing to make a table. To make a porch swing, it takes 4 hours of cutting and 2 hours of constructing. At most 20 hours per day are available for cutting and 16 per day for constructing. The profit is $54 on a picnic table and $51 on a swing. How many of each kind of furniture should be made to maximize profit?
x = # of picnic tables
y = # of porch swings
It’d be great if you could tell me the objective equation too, but I think it’s f(x,y) = 54x + 51y. I need the system of inequalities to graph, though.
x [is greater than or equal to] 0
y [is greater than or equal to] 0
2x+4y ≤ 20
4x+2y ≤ 16
Your objective function is right.
———-
Ideas: Sketch a table to show all the data.
Porch Swings from Cypress Moon Furniture
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