1. Your factory produces lemon-scented candles. You know that the cost of producing each unit is lower the more candles you produce, but you also know that costs will eventually go up if you make too many candles, due to the costs of storage of the overstock. The guy in accounting says that your cost for producing x thousands of units a day can be approximated by the formula C(x)=0.04x² -8.504x+25302. However, you also know that depending on the amount that you produce, the amount that people buy also varies. The accountant tells you that your revenue can be approximated by the equation R(x) = -0.25x² +1.205x+45872. Find the production level that will maximize your profits. Text a) Determine the quadratic equation for the profit P(x) = R(x) = C(x) Text

A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the revenue function?

You have been hired as a business analyst for Seko, an information technology company.The manager of Seko estimates that the annual profit of the company, in millions of dollars, isgiven byP(x) = 2 ln(2x + 1) + 2x − x2 − 0.3where x is the number of IT consultants (in hundreds) in its employ. Your responsibilities under this company are:1. To find the number of consultants the firm should hire so that its profit is maximized.2. To find the maximum profit.

The fish population in Loon Lake is modelled by the equation P(t) = 2500(0.92)^t where P(t) represents the number of fish and t represents the time, in years, since January 2010. In which year will the fish population decrease to 2000? You make an investment of $350 which earns 2.5 % / a compounded monthly. How many complete months will it take for the investment to be valued at $400? Pavendeep recently spent $16 500 on a new car. He read that the depreciation rate for this model of car is 14%. How much money is Pavendeep's car worth in 6 years?