MATH

1. An expression that describes the price of each table, based on the number of reductions, is 95 –2x, where x represents the number of $2 reductions in price. Write a similar expression to describe the number of tables the carpenter can expect to sell, based on the number of reductions.

B. Write an equation to describe the carpenter’s income as a product of the price of each table and the expected number of tables sold.

C. The carpenter hopes to earn $3600 to pay for his time, materials, and sales booth, as well as make a small profit. Determine the number of $2 reductions he can apply to the price of the tables to make $3600.

D. How many reductions will produce maximum income? Indicate the number of tables sold and the price of each one when maximum occurs.

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