A car repair shop blends oil from two suppliers. Supplier I can supply at most 45 gal with 3.9% detergent. Supplier II can supply at most 67 gal with 3.3% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent?

Maximize     0.039x + 0.033y

Subject to     0 ≤ x ≤ 45

                     0 ≤ y ≤ 67

                     x + y ≤ 100

Step-by-step explanation:

From the given information:

To maximize detergent from at most 100 gal of oil.

Assumptions:

Let assume that oil with 3.9% detergent is denoted by x; &

oil with 3.3% detergent is denoted by y

To maximize:

0.039x + 0.033y

As x can only supply at most 45 gal;

Then, 0 ≤ x ≤ 45   (since no negative supply is possible)

And, y can only supply at most 67 gal;

Then, 0 ≤ y ≤ 67   (since no negative supply is possible)

Now, if we take at most 100 gal, we have;

x + y ≤ 100

Therefore, the final solution is:

Maximize     0.039x + 0.033y

Subject to     0 ≤ x ≤ 45

                     0 ≤ y ≤ 67

                     x + y ≤ 100

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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step-by-step explanation:

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