The demand equation for video games is given by x = 400-20p Where x is the number of video games and p is in dollars. Find the value of maximizes the total revenue. that a $17 b) $15 c) $21 d) $20 el$ 16 p р

A furniture manufacturer is producing tables that they are selling for $225. Their monthly fixed costs are 12000. For each table they produce, they need $70 in material and $55 in labor.a) express the total costs as a function of the number of tables manufactured.b) How many tables do they need to manufacture to make a profit of $2,000? c) How many tables do they need to manufacture in order for them to breakeven? Answer text

A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.

The demand equation for a French press (a type of coffee maker) is given by P = 0.5Q2 - 35Q + 210, where Q is the number of units demanded per month and P is the price per unit. Find the demand when the price is $30.