AboutScotto Expertise Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.).
I also have answered some questions in
Physics (mass, momentum, falling bodies),
Chemistry (charge, reactions, symbols, molecules), and
Biology.
Experience Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications Maybe not a publication, but I have respond to well oveer 3000 questions on the PC.
That's around 2,000 in basic math and 1,000 in advanced math.
Education/Credentials I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients My past clients have been students at OSU, students at the college in South Seattle,
referals from a company, friends and aquantenances, people from my church, and people like you.
I am having trouble with a problem, please help me with this:
Question: "Average cost"
A manufacturer incurs the following costs in producing x blenders in one day for 0<x<200: fixed costs $450, unit production cost, $30 per blender, equipment maintenance and repairs 0.08x2(0.08 X SQUARE) dollars.
(A) What is the average cost C_(X) per blender if x blenders are produced in one day ?
(B) Find the critical values of C_(X), the intervals on which the average cost per blender is decreasing, the intervals on which the average cost per blender is increasing, and the local extrema. Also Graph it.
Along with the solution, can you also explain how do we find the C_(X) cost function with the given values?
Thanks A lot.
Bilal
Answer C(x)=450+30x+0.08x²
(A) To find the average, integrate C(x) from the minimum number to the maximum number. It would be the difference in 450x+15x²-0.08x^3/3 between x=200 and x=0. At zero, the function is 0. At 200, the value is 450(200) + 15(200²) - 0.08(200^3)/3.
(B) Setting the derivative equal to 0 to find the critical points, you would get x=187.5, so use the closest integers for the solutions would be x=187 or x=188. At both of these points, the profit is found to be 3,212.
To evaluate C(x), put in the values x=187 and x=188.
The cost function was given at the topof the respons
The 450 is the base value we always spend. the 30x is for the fact there is a cost of 30 for each one. The point 0.08x² they told us to subtract off as well.
