Price, Demand, and Total Cost for Widget Production Demand x (widgets) Price p ($/widget) Total Cost C($) 141 609 133 1103 1618 2109 2603 3111 3619 4103 4601 5114 Recall that profit can be computed in terms of revenue and cost. Assume that the annual widget sales match the annual widget demand and annual widget production. Construct a model for profit using the models for revenue and cost that you found in the Revenue and Cost sections. Give your model for profit LaTeX: P(x)P ( x ), where LaTeX: P(x)P ( x ) is the total annual profit in dollars for LaTeX: xx widgets sold.
Plot your models for cost, revenue, and profit on the same graph. Adjust the max/min to display the data in a reasonable way. On the plot, be sure to
Make a title for the plot "Total Cost, Revenue, and Profit".
Label your axes. Label the horizontal axis "Annual widget production", and label the vertical axis "Total cost/revenue/profit of producing widgets ($)".
Label the graphs or include a legend to make it clear which graph is which. What are the break-even points?
-What is the profit at the break-even points? Be sure to answer in complete sentences and to include units. Explain how you found the results.
What number of widgets sold will yield positive profit? Be sure to answer in complete sentences and to include units. Explain how you found the results.
Determine the number of widgets that you should try to sell in order to maximize profit. What is the maximum profit? Be sure to answer in complete sentences and to include units. Explain how you found the results.

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a cube with a side length of 12 feet a cone with a diameter of 12 feet and a height of 10 feet a square pyramid with a base side length of 12 feet and a height of 9 feet a hemisphere with a diameter of 12 feet marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm.in order to marion to ride her bicycle 96,712 cm, approximately how many rotations will the rear wheel make? 350 15.9 376 5133 an isosceles trapezoid has perimeter of 42 inches. each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. how long are the two parallel sides? 10 inches and 16 inches 12 inches and 20 inches 16 inches and 16 inches 10 inches and 22 inches

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?

Explain why the factor 1.5 is broke. into two numbers in the model.