Consider a monopolist using one input, xx$,$ in the production process. For simplicity, assume the marginal product of xx is constant.

The monopolist faces a linear demand given by

Q$=305$PQ$=305$P$,$

where PP stands for the price and QQ stands for the quantity demanded.

Suppose the monopolist sells its product at a price of $$5$ per unit.

The monopolist is maximizing profits, and the marginal revenue product of xx is: MRPx$=12\mathrm{.}0$MRPx$=12\mathrm{.}0.$ The marginal product of the input must be MPx$=$