Answer:
(a) [tex]R(x)=410x-\frac{x^{2}}{6}[/tex]
(b) profit = 95,683.33
Explanation:
[tex]Price:p(x)=410-\frac{x}{6}[/tex]
C(x) = 5900 + 130 x
(a) Revenue, R(x) = Price × Quantity
[tex]=410-\frac{x}{6}\times x[/tex]
[tex]=410x-\frac{x^{2}}{6}[/tex]
(b) profit = R(x) - C(x)
[tex]=410x-\frac{x^{2}}{6}-5900 - 130x[/tex]
At x = 1150
[tex]=410(1150)-\frac{1150^{2} }{6}-5900-130(1150)[/tex]
= 471,500 - 220,416.67 - 5,900 - 149,500
= 95,683.33
