An electronic store needs to order a total of 2400 CD players over the course of a year. It will receive them in several shipments, each containing an equal number of CD players. The shipping costs are as follows: $50 for each shipment, plus a one-time yearly fee of $2 for each CD player in a single shipment. What size should each shipment be in order to minimize yearly shipping costs?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Let there be n shipments having equal shipping quantities of players equal to 2400/n.
Minimum number of shipments per year, n \(\ge\) 1
Cost of each shipment = 50+2(2400/n)
Total yearly cost, C = n(50+2(2400/n)) =50n + 4800
Find the smallest value of n that will minimize the cost using the above equation.
@mathmate: Thank you! I understand everything except for the part where you have the variable "n" in front of the (50+2(2400/n). Why do we need to have it there?
It means n multiplied by the factor of 2400 / a and the sum of 50+2