Posted by **anonymous** on Monday, July 18, 2011 at 4:07am.

A company is planning to purchase and store two items, gadgets and widgets. Each gadget costs $2.00 and occupies 2 square meters of floor space; each widget costs $3.00 and occupies 1 square meter of floor space. $1,200 is available for purchasing these items and 800 square meters of floor space is available to store them. Each gadget contributes $3.00 to profit and each widget contributes $2.00 to profit.

Identify all constraints.

Identify all applicable corner points of the feasibility region.

What combination of gadgets and widgets produces maximum profit?

- math -
**Damon**, Monday, July 18, 2011 at 7:42am
contraints

2 g + 3 w < 1200

2 g + w < 800

objective

p = 3 g + 2 w

corners (g,w)

(0,0)

if g = 0

w = 400 or 800, use 400 (0,400)

(0,400)

if w = 0

g = 600 or 400, use 400 (400,0)

intersection

2 g + 3 w = 1200

2 g + w = 800

------------------

2 w = 400

w = 200

g = 300 so (300,200)

-------------------------------

look at p

at (0,0) is 0

at (0,400) is 800

at (400,0) is 1200

at (300,200) is 3*300+2*200 = 1300

max profit of 1300 at (300,200)

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