Answer:
a) The profit will be: [tex]Profit=y^2-99500[/tex]
b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.
Step-by-step explanation:
Cost of Bicycles= [tex]y^2+10y+100,000[/tex]
Revenue generated = [tex]2y^2+10y+500[/tex]
Find a polynomial that represent profits
The formula used for finding profit is:
[tex]Profit = Total \ Revenue - Total \ Cost\\Profit= 2y^2+10y+500 - (y^2+10y+100,000)\\Profit= 2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500[/tex]
So, the profit will be: [tex]Profit=y^2-99500[/tex]
If the company can produce bicycles y= 300
The profit will be:
[tex]Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500[/tex]
Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.
