linear equation

21. [-/1 Points] DETAILS HARMATHAP11 1.6.019. MY NOTES ASK YOUR TEACHER A manufacturer sells belts for $11 per unit. The fixed costs are $1800 per month, and the variable cost per unit is $8. (a) Write the equations of the revenue R(x) and cost C(x) functions. R(x) = C(x) = (b) Find the break-even point. It takes units to break even. 22. [-/1 Points] DETAILS HARMATHAP11 1.6.026. MY NOTES ASK YOUR TEACHER A company distributes college logo sweatshirts and sells them for $50 each. The total cost function is linear, and the total cost for 70 sweatshirts is $4226, whereas the total cost for 210 sweatshirts is $6606. (a) Write the equation for the revenue function R(x). R(x) = (b) Write the equation for the total cost function C(x). C(x) = (c) Find the break-even quantity. X = sweatshirts 23. [-/1 Points] DETAILS HARMATHAP11 1.6.035. MY NOTES ASK YOUR TEACHER Suppose a certain outlet chain selling appliances has found that for one brand of stereo system, the monthly demand is 210 when the price is $900. However, when the price is $850, the monthly demand is 285. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity. 24. [-/1 Points] DETAILS HARMATHAP11 1.6.049. MY NOTES ASK YOUR TEACHER A group of retailers will buy 120 televisions from a wholesaler if the price is $400 and 160 if the price is $350. The wholesaler is willing to supply 112 if the price is $315 and 192 if the price is $405. Assuming the resulting supply and demand functions are linear, find the equilibrium point for the market. (9.P) =(