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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Multiply.7a ? 9a2

A. 7a + 9a2 B. 63a4 C. 63a3 D. 16a3

Mathematics

Construct a truth table to determine when the lightbulb is on. That is, determine which switches must be open and which switches must be closed for the lightbulb to be on. 

A. The lightbulb will be on when p, q, and r are all closed; when p and q are closed and r is open; or when p and r are closed and q is open.


B. The lightbulb will be on when p, q, and r are all closed; when p and q are closed and r is open; when p and r are closed and q is open; or when p is closed and q and r are open.


C. The lightbulb will be on in all cases except when p and r are open and q is closed.


D. The lightbulb will be on when p and r are closed and q is open.


Mathematics

Write the number in scientific notation.790,000

A. 7.9 × 105 B. 7.9 × 10-6 C. 7.9 × 10-5   D. 7.9 × 106

Mathematics

Solve.A number divided by eight is 248. What is the number?

A. 256 B. 1984 C. 31 D. 240

Mathematics