Problem Set C (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? 1-x 0

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Problem Set C
(1) The revenue for a product is R(x) = -0.004x? + 21x - 6200 and the
cost is C(x) = 0.02x + 38, for x units produced and sold.
(a) Find the marginal profit for 2800 units.
(b) Should output be increased or decreased to generate a higher profit?
(1-x 0<x<1
(2) Find all the points of discontinuity of the function S(x) =}x+2 1<<x <3
(x? - 4
x23
(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge
gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-(n + 3)-1
is equal to one.
(4) Given matrix A = ( ), and that h(T) = T2 – 2T – 7, find h(T).
Transcribed Image Text:Problem Set C (1) The revenue for a product is R(x) = -0.004x? + 21x - 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? (1-x 0<x<1 (2) Find all the points of discontinuity of the function S(x) =}x+2 1<<x <3 (x? - 4 x23 (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-(n + 3)-1 is equal to one. (4) Given matrix A = ( ), and that h(T) = T2 – 2T – 7, find h(T).
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