QTS0103: Jane’s Company Manufactures Face Mask at a Cost of $0.50 per Box: Business Mathematics Assignment, SIM, Singapore

Question 1

Question 2

(a) The function f and g are given by f(x) = ln(3x+4) and g(x)= 2x²-3x+1.

1. Find the value of f(3) . Give your answer to 4 decimal places.
2. Find the value of g(-2).
3. Find f·g.
4. Find the value of f·g(2). Give your answer to 4 decimal places.

(b) Find an equation of the line in slope-intercept form that passes through the point (5, 2) and is parallel to the line that passes through the points (2, 5) and (-1, 3).

(c) Jane’s company manufactures face mask at a cost of $0.50 per box and sells them for $3 per box. The firm’s fixed cost is $20,000 per month. Find the breakeven quantity and revenue.

Question 3

(b) Jack’s electrical company found the monthly demand for a new brand of television sets t months after placing the televisions on the market is given by the function. It was known that the demand after 6 months was 3000 television sets.

1. Find the value of k. Give your answer to 4 decimal places.
2. What is demand after 1 year?
3. Find the time required for the demand to reach 4,000 television sets. Give your answer to 2 decimal places.