Answer:
Price per pack = 12
Step-by-step explanation:
The profit can be calculated as the product of the price by the quantity sold:
P = x * (240-10x)
P = -10x^2 + 240x
To find the maximum of this quadratic function, we can use the formula to find the vertix:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (a = -10 and b = 240)
x_v = -240/(-20) = 12
Now, we use this value to find the maximum profit:
P_max = -10*(12)^2 + 240*12 = 1440
