Ed owns a small business called Kingston Anchors, which produces four types of anchor for pleasure craft:

Danforth: a lightweight, temporary anchor;

Small Plow: an all purpose anchor for boats less than 24';

Large Plow: same thing for boats longer than 24';

Hereshoff: a fancy, show-off anchor for larger boats.

Each anchor requires metal to be cut, ground, tumbled and finally welded and assembled.Because of earlier foresight, Ed has stockpiled plenty of raw material in the form of steel bars, sheets, and tubes.The production data for each anchor of each type in the next cycle is as follows:

Cutting

Grinding

Tumbling

Weld/Assy

Maximum

Contribution

Anchor Type

Time

Time

Time

Time

Demand

to Profit

Danforth

5 min.

8 min.

2 min.

4 min.

800

$50

Small plow

10"

20"

5"

6"

300

110

Large Plow

15"

20"

7.5 "

8"

200

130

Herreshoff

30"

20"

10"

10"

100

200

Hours Available

120

240

100

80

Ed needs to know how many of each type of anchor he should plan to produce in order to maximize his contribution to profit. We will define D, SP, LP and H to be the number of Danforths, small plows, large plows and Herreshoffs that Ed decides to produce. Converting all the production times tominutes, the complete formulation will be as follows: