two sub-companies A and B produce cars, they work out their daily profit (p) based on the following formulas; Company A: p=-2c² + 26c – 60 Where p is the profit in 1,000 of pounds and c is the number of cars produced per day. Top management are interested in the following issues: Company B: p=-c' + 9c² – 60 i) Sketch the graph of company A's profit p for c in the range 0 to 13 and company B's profit p for c in the range 0 to 9, on the same graph. ii) Within what values of c does company A make a profit and  For what numbers of cars produced does each company make their largest profit? iiii) Between what values of c does company B make a larger profit than company and  What value of c gives the largest difference in the profits of the two companies, WITHIN what interval

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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two sub-companies A and B produce cars, they work out their daily profit (p) based on the following formulas; Company A: p=-2c² + 26c – 60 Where p is the profit in 1,000 of pounds and c is the number of cars produced per day. Top management are interested in the following issues: Company B: p=-c' + 9c² – 60

i) Sketch the graph of company A's profit p for c in the range 0 to 13 and company B's profit p for c in the range 0 to 9, on the same graph.
ii) Within what values of c does company A make a profit and  For what numbers of cars produced does each company make their largest profit? iiii) Between what values of c does company B make a larger profit than company and  What value of c gives the largest difference in the profits of the two companies, WITHIN what interval

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