statistics

1 Let f(x) = 6 -4x. Find f(2). 2 Let g(x)=10x-5. Find g - z 3 Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed cost is $100; 30 items cost $700 to produce. Assume that the situation can be expressed as a linear cost function. Find the cost function in this case. S Marginal cost: $20; 150 items cost $6500 to produce. Suppose that the supply function for honey is p = S(q) = 0.4q + 2.8, where p is the price in dollars for an 8-oz container and q is the quantity in barrels. Suppose also that the equilibrium price is $4.80 and the demand is 4 barrels when the price is $6.50. Find an equation for the demand function, assuming it is linear. To produce x units of a religious medal costs C(x) = 17x + 80. The revenue is R(x) = 33x. Both cost and revenue are in dollars. a. Find the break-even quantity. b. Find the profit from 400 units. c. Find the number of units that must be produced for a profit of $160. Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is N $2.50. Her total cost to produce 40 T-shirts is $170, and she sells them for $7 each. a. Find the linear cost function for Joanne's T-shirt production. b. How many T-shirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a profit of $800? A firm produces a product that has the production cost function C(x) = 440x + 6710 and the revenue function R(x) = 550x. No more than 59 units can be sold. Find and analyze the break-even quantity, then find the profit function. A person is the manager of a firm. He is considering manufacturing a new product, so he asks the accounting department for cost estimates and the sales department for sales estimates. After he receives the data, he must decide whether to go ahead with production of the new product. Analyze the following data (find a break-even quantity) and then decide what the manager would do in this case. Also, write the profit function. C(x) = 160x + 600 and R(x) = 140x