A furniture company makes bookshelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting whereas each desk requires 3 hours for carpentry work and 4 hours for painting. The company has a maximum of 60 hours and 40 hours of carpentry A work and for painting, in turn, each week. If they make a profit of $15 per shelf and $40 per desk, how many shelves and desks should they make? what would the x and y variables be, what is the objective function, the constraints, and the vertices?

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A furniture company makes bookshelves and desks. Each shelf requires 2 hours for carpentry work and 1 hour for painting whereas each desk requires 3 hours for carpentry work and 4 hours for painting. The company has a maximum of 60 hours and 40 hours of carpentry A work and for painting, in turn, each week. If they make a profit of $15 per shelf and $40 per desk, how many shelves and desks should they make? what would the x and y variables be, what is the objective function, the constraints, and the vertices?

EXPERT ANSWER

Solution !- According to the peonded details, a - furniture Company makes bookshelves and a desks. Consider, a are the number
22 constraints equations! te company have total ou hours production time available to produce two type of furniture, cies. (B
x=0 - Handling In 22+ 3y - 60 -D / 3y = 60 =) y lo = 20 I com ou dinates aule-) (x, y): (0, 20) =) 2= 6u =) = = 30 | Co-ordi
points on feasible Regions : A(0,0), B(0,10), C (24,4 ), D (30,0) point(0) :- 2x + 3y = 60 x + 4y = 40 x 2 20+ 3y = 60 24 + 8