A furniture manufacturer makes TV tables and bookcases in the same workshop. Each item brings in a profit of $18. Each bookcase requires 2 hours of labor 3 units of teak wood. Each TV table requires 6 hours of labor and 1 unit of teak wood. Resources in the workshop are restricted to 6 units of teak wood a day and 12 hours of labor per day. The initial and final tableau are given below with x = the number of TV tables and y = the number of bookcases produced each day.??

/>(initial)(final)The manufacturer thinks he can produce a desk chair in the same workshop. The chair uses 2 units of teak wood and 5 hours of labor. At what profit would it be worthwhile to include desk chairs in the production line?

Fill in the blank(s) with the appropriate word(s).

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$20.25

Mathematics

Add.467 + 206

A. 673 B. 573 C. 663 D. 563

Expand the expression using the Binomial Theorem.(2p3 + 4)5

A. 32p5 + 320p4 + 1280p3 + 2560p2 + 2560p + 1024 B. 32p15 + 320p12 + 1280p9 + 2560p6 + 2560p3 + 1024 C. 32p8 + 320p7 + 1280p6 + 2560p5 + 2560p4 + 1024 D. 32p10 + 320p8 + 1280p6 + 2560p4 + 2560p2 + 1024

Give a direct proof of the following theorem.

Premise 1: If you exercise, your health will improve. Premise 2: If your health improves, you will be able to accomplish more. Premise 3: If you set aside time, you can exercise. Theorem: If you set aside time, you will be able to accomplish more. Proof: STATEMENTS REASONS

Solve the inequality. Write the solution set in interval notation.x2 - 2x - 15 < 0

A. (-3, 5) B. (-?, -3) C. (-?, -3) ? (5, ?) D. (5, ?)