Solve the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week. Eric can sell more basic models than deluxe models, so he wants the number of basic models produced to be 50% more than the number of deluxe models produced. If he makes $50 profit on the basic models and $65 profit on the deluxe models, how many should he make to maximize the profit? What is the maximum profit?

What will be an ideal response?


24 basic models, 16 deluxe models; maximum profit $2240

Mathematics

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A.

B.

C.

D.

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Write the first three terms in the binomial expansion, expressing the result in simplified form.(2x + 3y)7

A. 7x7y + 6x6y2 + 5x5y3 B. 7x7 + 6x6y + 5x5y2 C. 128x7 + 1344x6y + 6048x5y2 D. 128x7y + 1344x6y2 + 6048x5y3

Mathematics

Simplify the expression.7 ?   - 

A. 21 
B. 24 
C. 3 
D. 18 

Mathematics

The polynomial is given in one of the three forms: standard, root, or factored. Change it to the specified form. f(x) = 7(x + 4); write in standard form

A. f(x) = 7x2 - 23x - 20 B. f(x) = 7x2 + 23x + 20 C. f(x) = x2 + 23x - 20 D. f(x) = 7x2 + 23x - 20

Mathematics