Question

1.         Borden Road Music is producing CDs for five (5) artists, Sarah D, Tom Boy, Uber Lyft, Vinny Joe, and Wanda, and X-terra. Borden Road Music makes the following unit profits on each artist’s CD as follows

Artist	Sarah D	Tom Boy	Uber Lyft	Vinny Joe	Wanda
Profit/CD	$0.58	$0.43	$0.25	$0.17	$0.28

Each artist needs recording studio time and mastering studio time. There are 10,000 Minutes of available mastering time and 25,000 minutes of available recording time.

Artist	Sarah D	Tom Boy	Uber Lyft	Vinny Joe	Wanda
Recording/CD	52	48	40	60	75
Mastering/CD	28	24	18	12	5

Each artists CD must be packaged after production. There is 2,000 minutes of packaging time.

Artist	Sarah D	Tom Boy	Uber Lyft	Vinny Joe	Wanda
Package/CD	1.5	1.25	1.0	0.75	1.5

Each artist will need promotion time. There are only 50,000 minutes of promotional time available.

Artist	Sarah D	Tom Boy	Uber Lyft	Vinny Joe	Wanda
Time/CD	25	15	10	5	1

Marketing has the following consumer behavior information:

            i.          There are already 200 copies of Uber Lyft CDs pre-ordered.

            ii.         There are already 100 copies of Vinny Joe CDs pre-ordered.

            iii.       For every 2 Sarah D CDs sold there is a Tom Boy CD sold.

As a quality control measure Wanda CDs cannot exceed half of the other CDs produced.

a.         Formulate the standard form of Borden Road Music’s linear program in the table below.

b.         Use excel to solve the linear program and attach the Solution worksheet, the Sensitivity Analysis worksheet.

c.         What happens to Borden Road’s profits if they gain 100 minutes of Mastering time?

            Profits:                                           .

d.         What happens to Borden Road’s profits if they lose 100 minutes of recording time?

            Profits:                                           .

Objective:
Constraints:
1:
2:
3:
4:
5:
6:
7:
8:
Non-negativity:

Answer 1