Manufacturer estimates that when x units of a particular commodity are produced each month, the total cost (in $) will be: C(x)= -1/8x^2+4x+200 and all units can be sold at [roce of P(x)= 49-x dollars per unit. Determine the price that corresponds to the maximum profit.

Formulas available to use

Total revenue or R(x)= xp

p is price

x is amount of units

P(x)= R(x)-C(x)

profit or less generate dby producing and seeling x units

C(x) = cost of producing x units

R( x)= revenue generated by selling x units

Im not sure which formulas would be useful in this situation/how to find the price for max profit