SAULA_TV manufactures middle-size TVs...

[teras000]

SAULA_TV manufactures middle-size TVs. The quantity x of these TVs demanded each week is related to the wholesale unit price p by equation p = -0,006x +180 . The weekly total cost incurred by the factory for producing x units is TC(x)=0,000002x^3- 0,02x^2+120x+60000euros. Because of technological requirements the factory can’t produce less than 4000, and more than 10000 TVs per week. What should be the level of production per week so that one additionally produced TV would generate 32,5 euros of profit?

 

[Deleted member 4993]

SAULA_TV manufactures middle-size TVs. The quantity x of these TVs demanded each week is related to the wholesale unit price p by equation p = -0,006x +180 . The weekly total cost incurred by the factory for producing x units is TC(x)=0,000002x^3- 0,02x^2+120x+60000euros. Because of technological requirements the factory can’t produce less than 4000, and more than 10000 TVs per week. What should be the level of production per week so that one additionally produced TV would generate 32,5 euros of profit?

Duplicate post:

http://math.stackexchange.com/questions/1941225/please-help-with-derivatives-exercise

 

[stapel]

SAULA_TV manufactures middle-size TVs. The quantity x of these TVs demanded each week is related to the wholesale unit price p by equation p = -0,006x +180 . The weekly total cost incurred by the factory for producing x units is TC(x)=0,000002x^3- 0,02x^2+120x+60000euros. Because of technological requirements the factory can’t produce less than 4000, and more than 10000 TVs per week. What should be the level of production per week so that one additionally produced TV would generate 32,5 euros of profit?

What are your thoughts? What have you tried (especially based on what you've been given at other postings of this exercise)? How far have you gotten? Where are you stuck?

Please be complete. Thank you!