Show work please

1. (2 points) When Power and Money, Inc., charges $600 for a seminar on management techniques, it attracts 1000 people. For each $20 decrease in the fee, an additional 100 people will attend the seminar. The managers are wondering how much to charge for the seminar to maximize their revenue. 2. A deli owner has found that his revenue from producing xpounds of vegetable cream cheese is given by R(x) = x2 +30x, while the cost mction in dollars is given by C(x) = 5x + 100. a) (1 point) Find the minimum break even quantity. b) (1 point) Find the maximum revenue. 0) (1 point) Find the maximum prot. . You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4, the demand was 560 10g ons per month. When you lowered the price to $3.50, the demand increased to 840 log ons per month. a) (1 point) Construct a linear demand function for your website and hence obtain the monthly revenue R(x) as a function of the log on fee x. b) (1 point) Your Internet provider charges you a monthly fee of $40 to maintain your site. Express your monthly prot P (x) as a mction of the log on fee x. c) (1 point) Determine the log on fee you should charge to obtain the maximum possible monthly prot. (1) (1 point) What is the maximum possible monthly prot