NPV

A project will require an initial investment of $750,000 and will return $200,000 each year for five years. If taxes are ignored and the required rate of return is 9%, what is the project’s net present value? Based on this analysis, should the company proceed with the project?

Accounting

Network Company requires four units of R2 for every unit of D2 that it produces. Currently, R2 is made by Network, with the following per unit costs in a period when 20,000 units were produced: Direct materials $ 6.00 Direct labor 2.50 Manufacturing overhead 5.60 Total $14.10 Variable manufacturing overhead is applied at 100% of direct labor cost. The rest of the overhead is fixed. Network will need 20,000 units of R2 for next year’s production. Solutions Corporation has offered to supply 20,000 units of R2 at a price of $13.00 per unit. If Network accepts the offer, all of the variable costs and $30,000 of the fixed costs will be eliminated. Should Netwo... click for more

Find the row echelon form of the given matrix.

Find the row echelon form (not the reduced row echelon form) of the 4 X 3 matrix whose rows are as follows: row 1: 1/3 1/4 1/5 row 2: 2/3 2/4 2/5 row 3: 3/3 3/4 3/5 row 4: 4/3 4/4 4/5

Cantor Sets

1. Show that the Cantor function c: [0, 1]  [0, 1] is continuous. To do this, I know I need to use the fact that c is monotone, but I’m having difficulty from there. 2. Compute ∫c, where c is considered to be an element of L+(R). (let c(x) =0 for x not in [0, 1]) Here, c is the Cantor Function and L+(R) consists of functions which are almost everywhere the limit of a non-decreasing sequence of step functions for which the sequence (∫cn) is bounded. 3. Show that ¼ is in the Cantor set. See attached file for full problem description.

Infinite Series

Convergent series of nonnegative terms. See attached file for full problem description.