A company that manufactures lamps has a fixed cost of $80,000 and it costs $20 to produce each lamp. Lamps are sold for $70. a. Write the cost function. C(x) = 80,000 + 20x Fixed Variable cost: cost $20 per lamp b. Write the revenue function. R(x) 70x Revenue per lamp, $70, times number of lamps sold c. Find the break-even point. Solve Sy 80,000 + 20x 70x by substitution. Solving 70x = 80,000 + 20x yields x = 1600. Back-substituting, y The break-even point is (1600, 112,000): The company breaks even if it sells 1600 lamps. At this level, money coming in equals money going out: $112,000. 112,000.

The cost (C) of computer monitor is partly constant and partly varies directly as the number of computer monitor (N) produced. The cost is $2000 when 5 computer monitors produced. The cost is $2600 when 7 computer monitors produced. (a) Find the cost (C) in terms of the number of computer monitors (N). (b) Find the cost (C) when 10 computer monitors produced. (c) Find the number of computer monitors (N) produced when the cost is $6500.

The height of Jocelyn's rocket, in feet, as a function of time, in seconds, is modeled by the equation J(t)=-16t^2+180t. The height of Kelly's rocket, in feet, as a function of time, in seconds, is modeled by the equation K(t)=-16t^2+240t. a. Evealuate J(3)  b. Who would win a rocket launching contest by having the highest flying rocket? c. How much more time did it take for the second rocket to hit the ground? d. If we launch Kelly's rocket from a height of 12 feet how does that change Kelly's function K(t)?

The Campus Democrats plan to pay a visitor $500 to speak at a fundraiser. Tickets will be sold for $10 apiece. Find a function that gives the profit (or loss) for the event as it varies with the number of tickets sold. How many people must attend the event for the club to break even?