For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue function for selling x items is R(x)=-0.5(x-100)^2+5,000. The maximum capacity of the company is 140 items. A.) Assuming that the company sells all that it produces, what is the profit function? Solve.
P(x)=
B.) What is the domain of P(x)
C.) The company can choose to produce either 70 or 80 items. what is their profit for each.
Profit when producing 70 items=
Profit for producing 80 items=
D.) can you explain from the model, why the company makes less profit when producing 10 more units.​

What is the measure of angle z in this figure? enter your answer in the box. z = ° two intersection lines. all four angles formed by the intersecting lines are labeled. clockwise, the angles are labeled 43 degrees, x degrees, y degrees, and z degrees.

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.