Mathematical Methods in Business Assignment Example | Topics and Well Written Essays - 1000 words

mathematical Methods in Business - Assignment ExampleThe get below approximates the weekly box piazza profit for a popular movie, where x = the number of weeks the movie has been playing.The function below approximates the weekly box office advantage for a popular movie, where x = the number of weeks the movie has been playing.What is the rate of change of weekly receipts per theater after 10 weeks?The manageing price of a product is $400, and the manufacturer is able to sell every unit it makes. The cost of producing x units is given by this formula.A comp all has developed a function that describes its profit over time. The x variable measures time. If the first derivative of the function is contradict at a value of x, it means that the company is not making a profit at that point in time.A function has the characteristics listed in the bullets below. Use the characteristics to construct a rough sketch of the function using this x axis________________________________________ _________________________________________-20 -15 -10 -5 0 5 10 15 20 The function has three critical points When x = -20, the first derivative is positive When x = -10, the first derivative is zero and the second derivative is negative When x = 5, the first derivative is zero When x = 15, the first derivative is zero indicates whether each of these statements is sure or false11. T F When x = 0, the first derivative is positive12. T F When x = 5 the second derivative is positive13. T F When x = 15 the second derivative is positive14. T F the basic shape of this curve is more like an M than a W15. T F For any value of x larger than 15, the first derivative will always be negative