Posted by Walter | Posted in Pottery Art | Posted on 06-06-2007
Tags: art, bowl, bowl vases, bubble bowl vase, etsy, fish bowl vases, glass, glass bowl vases, home, wedding fish bowl vases
a vase requires 25 oz of clay and 5 oz of glaze. a bowl requires 20oz of clay and 10 oz of glaze.?
there are 500oz. of clay available and 200 oz. of glaze available. the profit on onw vase is $5 and the profit on one bowl is $4
Let v be the number of vases produced.
Let b be the number of bowls produced.
I assume you are trying to maximize profit. The profit is represented by:
5v + 4b
You have several constraints.
v ≥ 0
b ≥ 0
25v + 20b ≤ 500
5v + 10b ≤ 200
Graph these 4 inequalities and you get a region of “feasibility”.
Find the coordinates of each intersection to find the “corners” of this region.
One corner is (0,0), but that obviously won’t be profitable.
Another is (0,20) which results in a profit of $80.
Another is (20,0) which results in a profit of $100
Finally there is the intersection of the two lines:
25v + 20b = 500
5v + 10b = 200
Double the second equation:
10v + 20b = 400
15v = 100
v = 100/15
v = 6 2/3
So let’s try 6 or 7 vases, and compute the number of bowls.
6 vases = 150 oz of clay, 30 oz. of glaze
Leaving 350 oz. of clay and 170 oz. of glaze –> 17 bowls
7 vases = 175 oz of clay, 35 oz of glaze
Leaving 325 oz. of clay, 165 oz. of glaze –> 16 bowls
Check these points:
In the first case (6, 17) you will make 30 + 68 = $98
In the second case (7, 16) you will make 35 + 64 = $99
Neither of these out do just making vases:
Answer:
Make 20 vases to maximize profit.
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