SOLUTION: Hi iam having some problems with this question, i would appreciate it very much if you could solve it for me, thank you. Equalizing cost. United products co. manufactures c

Question 153066This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science
: Hi iam having some problems with this question, i would appreciate it very much if you could solve it for me, thank you.
Equalizing cost.
United products co. manufactures calculators and has plants in the cities of Exton AND WHYTON .At the Exton plant, fixed cost are $7000 per month , and cost of producing each calculator is $7.50.At the Whyton plant ,fixed cost are $8800 per month ,and each calculator costs $6.00 to produce .Next month ,United products must produce 1500 calculators.How many must be made at each plant if the total cost at each plant is be the same
This question is from textbook introductory mathematical analysis , for business ,economics and the life and social science

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
7,000+7.5x=8,800+6(1,500-x)
7,000+7.5x=8,800+9,000-6x
7.5x+6x=17,800-7,000
13.5x=10,800
x=10,800/13.5
x=800 for the # of calculators made @ the Exton plant.
1,500-800=700 for the # of calculators made @ the Whyton plant.
proof:
7,000+7.5*800=8,800+6*700
7,000+6,000=8,800+4,200
13,000=13,000

RELATED QUESTIONS
Hi iam having some problems with this question, i would appreciate it very much if you... (answered by Earlsdon)