A company is increasing production of peanuts at the rate of 50 cases per day. All cases produced can be sold. The daily demand function is given by p = 50 - q/200 , where q is the number of units produced (and sold) and p is price in dollars. (Even though the quantity that consumers demand depends on the selling price, economists write the price as a function of the quantity.) Find the rate of change of revenue with respect to time (in days) when the daily production is 200 units.

The growth rate of the speed of sound in relation to the temperature in degrees Fahrenheit is a linear function. The speed of sound at 0 degrees Fahrenheit is 1052.3 feet per second. For every 1 degree Fahrenheit rise in temperature, the speed of sound increases by 1.1 feet per second.  A. Identify the initial value of linear function that gives the speed of sound in terms of temperature. B. A 20 degree Fahrenheit rise in temperature would provide what increase in the speed of sound? C. What would the speed of sound be after a 67 degree Fahrenheit rise in temperature?

Each month, a salesman earns a base salary of $621.00 plus 5% commission on sales. Use C for total monthlycompensation and S for total monthly sales, both in dollars.A: Find a formula that gives total compensation as a linear function of total monthly sales.B: What monthly sales lead to a total monthly compensation of $3850?C: How is total monthly compensation affected if sales are increased by $5156.00?

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