A manufacturer estimates that when x units of a particular commodity are sold domestically and y units are soldtiv slto foreign markets, the profit is given by P(x, y)=(x-30)(70+5x– 4y)+(y-40)(80-6x+7y) hundreddollars. If monthly domestic sales vary between 100 and 125 units and foreign sales between 70 and 89 units,what is the average monthly profit?

The profit function is given as: Px,y=x−3070+5x−4y+y−4080−6x+7yWhere x units are sold domesticallyy units are sold to foreign market given that the monthly domestic sales vary between 100 and 125 units and foreign sales between 70 and 89 units. objective is to find the average month profit. Pav=P100,70+P125,892Now, calculate the monthly domestic sales between 100 and 125 units and foreign sales between 70 and 89. Px,y=x−3070+5x−4y+y−4080−6x+7yP100,70=100−3070+5100−470+70−4080−6100+770P100,70=100−3070+500−280+3080−600+490P100,70=70290+30−30=19400P125,89=125−3070+5125−489+89−4080−6125+789P125,89=9570+625−356+4980−750+623P125,89=95339+49−47=−2302+32205=29902The average month profit. Pav=P100,70+P125,892P100,70=19400P125,89=29902Pav=19400+299022=493022=24651