marginal condition

Please can you help with some hints, if you can’t help with final solution. Thank you!

A cell phone distributor can import cell phones at the world price of $110 per cell phone. The distributor can also have these phones produced within his or her own company at two production lines. Production Line 1 has a total cost function C1= .0020 X^12, while Production Line 2 has a total cost function C2=.001X^22, where C1 (C2) are the total production costs for line 1(line 2) and X1(X2) denote the production levels for line 1 (line 2). The distributor wants to obtain 200,000 cell phones to distribute to local customers. But he or she wants to diversify the source mix among imports and the two production lines in order to minimize costs. Incurring more than the minimum cost would reduce the distributor’s profit margin when he or she turns around and sells the phones. Thus, the distributor has hired you to determine the number of phones that should be imported, produced on Line 1, and produced on Line 2, to minimize the total cost of obtaining the 200,000 cell phones.

Find the following:

(a)Set this up as a constrained minimization problem, use calculus to determine the lowest-cost combination of imports and production on Lines 1 and Lines 2 to satisfy the distributor’s 200,000 cell phone target. What is the marginal condition that results?

(b)What is the total cost of obtaining the cell phones based on the lowest cost combination of imports and production on lines 1 and 2 as you determined in part (a)?

(c)What is the total cost to the distributor if all 200,000 cell phones are produced on lines 1 and lines 2, where the production shares between line 1 and line 2 are distributed to minimize the total cost of 200,000 by these two sources alone? What is the cost savings of the lowest cost solution in (b) compared with totally producing the cell phones domestically on lines 1 and 2?

(d) What is the total cost for the distributor if all 200,000 cell phones are imported? What is the cost savings of the lowest cost solution in (b) compared with the cost of importing all cell phones?

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with TheBestPaperWriters
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Business Studies
Job well done. Finish paper faster than expected. Thank you!
Customer 452451, October 3rd, 2022
Public Administration
Excellent timely work
Customer 452451, April 19th, 2023
Job well done and completed in a timely fashioned!
Customer 452451, November 18th, 2022
Business Studies
Excellent service - thank you!
Customer 452469, February 20th, 2023
Architecture, Building and Planning
The assignment was well written and the paper was delivered on time. I really enjoyed your services.
Customer 452441, September 23rd, 2022
Business Studies
Thank you!
Customer 452451, November 27th, 2022
Excellent services will definitely come back
Customer 452441, September 23rd, 2022
English 101
Very good job. I actually got an A
Customer 452443, September 25th, 2022
Thanks a lot the paper was excellent
Customer 452453, October 26th, 2022
excellent loved the services
Customer 452443, September 23rd, 2022
The paper was EXCELLENT. Thank you
Customer 452449, September 23rd, 2022
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat