Business Calculus
Business Calculus – Assignment # 2
Due April 11, 2019
Presentation of Assignment:
· Assignments are to be submitted on the stated date unless otherwise communicated.
· Late assignments will be accepted three (3) days after the due BUT the candidate cannot get more than 40%
· Assignments that are more than Three (3) days late WILL NOT BE ACCEPTED
· Assignments should be typed or neatly written.
· Assignments MUST have a TYPED cover page with the following.
· Name of Institution and campus
· Candidate’s name
· Candidate’s identification number
· Date of submission.
(a) Find the marginal cost function and find its value when 100 mp3 players are produced. (5 marks)
(c) Determine the average change of cost from x = 100 to x = 125. (5 marks)
Total 15 Marks
2. (a) The fixed cost of production of a firm is $800, and the marginal cost is: C/x) = 0.03x2 + 0.12x + 5. Find the cost function. (5 marks)
(i) the equilibrium price (4 marks)
(ii) the consumers’ surplus (3 marks)
(iii) the producers’ surplus. (3 marks) Total 15 Marks
3. (a) A ball is rolled up sloping ramp and after time, t, its distance from the starting point is given by the formula, . Calculate the furthest distance up the sloping ramp the ball travels? (4 marks)
(c) Find the integral of the following
2
()25
dxx
=-+
()210
sxx
=+
3
2
4032
3
x
yxx
=+-+
(325)
xdx
-
ò
4
2
2
(6)
3
xdx
x
+
ò
2
()1000400.01
Cxxx
=++
()
Cx
-
(100)
C
-