Activity 2

A metallurgist has one alloy containing 26%26% copper and another containing 69%69% copper. How many pounds of each alloy must h

Brilliant_brown [7]

Answer:

Ans. He must use 2,987.76 pounds of alloy X (Cu=69%) and 2,365.24 pounds of alloy Y (26%=Cu)

Explanation:

Hi, let´s call alloy X the alloy that contains 69% of Cu and alloy Y the one containing 26% of Cu. Since he needs to produce 5,353 pounds of alloy, the first equation that we need to use is the following.

$X+Y=5,353$

Now, we need this 5,353 pounds of the new alloy to be 50% Cu, therefore, we have to use a portion of alloy X and alloy Y. This is as follows.

$0.69X+0.26Y=0.5(X+Y)$

And we have already established that X+Y is equal to 5,353, therefore this equation should look like this.

$0.69X+0.26Y=5,353*0.5$

$0.69X+0.26Y=2,676.5$

And we solve for X this equation, this as follows.

$0.69X=2,676.5-0.26Y$

$X=\frac{2,676.5-0.26Y}{0.69}$

$X=3,878.98-0.3768Y$

Now, we use this result and substitute this for X in the first equation like this.

$3,878.98-0.3768Y+Y=5,353$

and then, we solve for Y

$0.6232Y=5,353-3,878.98$

$Y=\frac{1,474.02}{0.6232} =2,365.24$

So, he needs to use 2,365.24 pounds of alloy that contains 26% of Cu, this means that the rest (2,987.76 pounds) must come from the alloy that contains 69% of Cu.

We can check this result by finding the overall Cu obtained by this amounts of alloy, that is

$Coppper FromX=2,987.76*0.69=2,061.55$

$Coppper FromY=2,365.24*0.26=614.96$

That adds up to 2,676.51 pounds of pure Cu, and since the total weight of the new alloy is 5,353, this amount of copper makes up for:

$PercentCu=\frac{2,676.51}{5,353} =0.5$

50% of the total weight.

Best of luck.

7 0

3 years ago

at what point described below will producer surplus most likely drop to zero for a firm? a.) when the firm is taking a significa

kherson [118]

(B) When revenue equals opportunity and variable cost, then the producer surplus most likely drops to zero for a firm.

<h3>What is revenue?</h3>

The total income derived from the sale of products or services pertaining to a business's core operations is referred to as revenue.
Because it appears at the top of the income statement, revenue, which is also known as gross sales, is frequently referred to as the "top line."
A company's overall earnings or profit are referred to as income or net income.
Although both revenue and profit are positive indicators for your company, they are not the same thing.
The producer surplus for a firm will probably reach zero when revenue equals opportunity costs and variable costs.

Therefore, (B) when revenue equals opportunity and variable cost, then the producer surplus most likely drops to zero for a firm.

Know more about revenue here:

brainly.com/question/16232387

#SPJ4

3 0

1 year ago

Nenn Co.'s allowance for uncollectible accounts was $190,000 at the end of 2017 and $180,000 at the end of 2016. For the year en

Svetradugi [14.3K]

Answer:

$ 21,000

Explanation:

To determine the answer we need to preoare a movemnet of the account for uncollectible account.

Opening balance - Allowance for uncollectible accounts $ 180,000

Add: Bad debt expense for the year <u>$ 21,000</u>

Available balance of Allowance for uncollectible accounts $ 201,000

Less: Closing balance - Allowance for uncollectible accounts <u>$ 190,000</u>

Actual bad debts written off $ 21,000

The bad debts expense for the year is credited to the Allowance for uncollectible accounts and any actual bad debts are debited to this account.

8 0

3 years ago

If the U.S had been poor in natural resources, how would industrialization have been affected?

ludmilkaskok [199]

Without an abundance of natural resources, the US could never of have achieved industrialization at the pace or scope it did. United States of American will then have l<span>ess wealth, less industry, and slower growth. Thank you for posting. Hope it helps :)</span>

5 0

3 years ago

Kimi is writing training objectives that describe what the employee is expected to do and the conditions under which the employe

maria [59]

Answer:

a description of the acceptable quality or level of performance

Explanation:

Kimi includes the description of the quality which is acceptable because she gives training to employees. So, she makes sure that every employee learns in a better manner for the benefit of the organization. Therefore Kimi expects from every employee the acceptable quality should be there after the training. On the other hand, Kimi wants the level of performance should be good because Kimi want that every work should be done in an effective, efficient and systematic manner.

6 0

3 years ago