Dave rents kayaks to customers at a large recreational lake. When he charges $25 per hour, 15 kayaks are rented. When he charges $10 per hour, 45 kayaks are rented. Assuming a linear relationship between the hourly charge and the number of kayaks rented, how much should Dave charge the guests to maximize revenue? What is the maximum revenue that can be generated?

a car rental agency rents 200 cars per day at the rate of $40 per day. For each $1 increase in rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? what is the maximum income?

A manufacturer sells a product for $10 per unit. The manufacturer’s variable costs are $2.50 per unit and the cost of 100 units is $1450. How many units must the manufacturer produce each month to break even? Break-even point is the point where the total revenue line crosses the total cost line

Debra bought 6 extension cords and 9 axes for $123. Carry bought 6 extension cords and 1 axe for $67. Let x represent the price of each extension cord and y represent price of each axe. Write a cost equation for both Debra and Carry.

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The apartment you want to rent is a one bedroom, one bath that has an $800 nonrefundable deposit and rent is $1,400 each month. ANSWER THE FOLLOWING 1. Write a linear equation to determine how much your monthly payment would be for living in an apartment. 2. Determine the total amount you will pay for 1 year.

Janus owns a small bakery that specilaize in 3 layer cakes dcorated with roses.He employs marcisa and annie.Each month janus wants to make $4000 and he would pay his two employees $3000 each.the fixed cost of rent etc.is $5400/month.They sell the cakes for $50 each and the cost of making each cake is $15. Recall that profit is revenue-cost.Revenue is selling prices times items made.and cost is fixed cost plus the cost of each item times the number of items