Question 1202927
i used the simplex method calculator at <a href = "https://www.zweigmedia.com/RealWorld/simplex.html" target = "_blank">https://www.zweigmedia.com/RealWorld/simplex.html</a>
my constraint and objective chart is shown below:
<pre>
                                 A                B             C
pineapple concentrate            8                0             4    <= 16000 ounces
orange juice concentrate         8               12             8    <= 24000 ounces
banana pulp concentrate          0                4             4    <= 5000 ounces
profit                           1                0.8           0.9     maximize dollars
</pre>


this is what the results from the simplex method calculator look like.


<img src = "http://theo.x10hosting.com/2023/070101.jpg">


the solution states that the maximum profit is made when 800 cartons of type A and 1250 cartons of type C mixture are made and sold.
no cartons of type B mixture were made and sold, according to the calculator.
i duplicated the problem in excel and it gave me the same solution.


type A mixture is a pineapple orange juice concentrate blend
type B mixture is an orange juice banana pulp concentrate blend
type C misture is a pineapple orange juice banana pulp concentrate blend
each carton contains 48 ounces of water to mix with the concentrate for a total of 64 ounces per carton.
the profit is based on 1 dollar per type A carton plus 80 centers per type B carton plus 90 cents per type C carton.


the number of ounces of pineapple concentrate used was 800 * 8 + 1250 * 4 = 11400.
the amount left over was 16000 minus 11400 = 4600.


the number of ounces of orange juice concetnrate used was 800 * 8 + 1250 * 8 = 16400.
the amount left over was 24000 minus 16400 = 7600.


the number of ounces of banana pulp used was 1250 * 4 = 5000
the amount left over was 5000 minus 5000 = 0.


the maximum profit was 800 * 1 + 1250 * .9 = 1925 dollars.