Chapter 2, Problem 2.12P

y = (3 - x)6 + 7 apply the function in economic optimization concept

In optimization we convert a problem to which calculus problem? Group of answer choices a. Find an optimal domain of a function and then find limits at the endpoints of the domain. b. Find optimal equations for a given situation. c. Find extremum values of a function defined on a domain.

please  only do: if you can teach explain steps of how to solve each part what is the optimization to use for foc?    please solve  also the other part

4. Find the maximum values of the following functions and show whether they are maximized at their maximum values. (a) y= f(x)=10x – x² (b) z=10x+10y-xy-x² - y²

What is constrains optimization, explain

Discusses the optimization

3. Marginal versus average effects Consider the nonlinear function shown by the blue curve on the following graph. The grey line is tangent to this curve at point A. Use the grey line (star point) to answer the following question. (Note: You will not be graded on your placement of this line.) 10 9 8 7 6 5 4 3 2 1 0 0 1 2 O True 3 O False A + 4 Tangent Line The marginal effect of X on Y at point A is 5 X The average effect of X on Y at point A is 6 7 8 9 f(x) True or False: For this graph, the marginal effect decreases as X increases. 10 Scratch Line

why is there no inclusion of the parameter z in the solutions and the budget constraint?

2. A small college is trying to predict enrolment for the next academic year. Thevice president for business states that enrolment has tended to follow apattern described by E = 18,000 – 0.5P, where E denotes total enrolment andP is yearly tuition.a) If the school sets tuition at €20,000, how many students can it expect to enrol?b) If the school wants to maximize total tuition revenue, what tuition should itcharge?c) As the vice president for business, what tuition would you recommend? Explainbriefly.d) Due to a strong post-COVID-19 recovery, the income conditions in the regionimprove substantially. Explain in one sentence how this could affect the college’senrolment pattern and the enrolment level maximizing its tuition revenue.