AMB_assignment

Raggs, Ltd., a clothing firm, determines that the marginal profit and marginal cost are given by , . Find the total revenue if R(0) = 3000.
1, The distance profit is given by the definiteinte gral of (P’(x))
Px=P'x=150-0.5xdx
=150x-0.25x2+CThe distance cost is given by the definiteinte gral of (C’(x))
Cx=C'x=4000+0.25x2dx
=4000x-112x3+CWe have the total revenue is R(x) = P(x) + C(x)
Cx=150x-0.25x2+C+4000x+112x3+C
=112x3-0.25x2+4150x+C1 (C1=2C)
When R(0) = 3000
=>2C=3000
The total revenue is
Rx= 112x3-0.25x2+4150x+3000
Laso Industries finds that the marginal profit, in dollars, from the sale of x products is given by . A customer orders 1200 digital control boards and later increases the order to 1500. Find the extra profit resulting from the increase in order size.
2, The distance profit is given by the definiteinte gral of (P’(x))
Px=P'x=3.1.x0.1dx
=3111x1.1+CThe extra profit resulting from the increase in order size is the antidifferentiation P(x) with belong [1200,1500]
Px=12001500(3130x1.1) dx=> 3111(15001.1-12001.1)
= $1911.76 Northeast Airlines determines that the marginal profit resulting from the sale of x seats on a jet traveling from Atlanta to Kansas City, in hundreds of dollars, is given by Find the total profit when 85 seats are sold.
3, The distance total profit is give by the definiteinte gral of P(x)
Px=P'x=3x-30dx
=233x32-30x+CWhen 85 seats are sold the total profit is:
Px=2338532-85.30
= -$1645.105
Great Green, Inc., determines that its marginal revenue per day is given by , where R(t) is the total accumulated revenue, in dollars, on the tth day. The company’s marrginal cost per day is given by , where C(t) is the total accumulated cost, on the tth day.
Find the total profit from t=0 to t=10.
Find the average daily profit for the first 10 days.
4,a, The distance revenue is given by