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Sagot :
If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be [tex](5000*x)=5000x[/tex].
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be [tex][(3000*y)=3000y][/tex].
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
[tex]=(3000y-5000x)\\=1000(3y-5x)[/tex].
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
- Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.
- Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.
To learn more about Profit and Loss, click on the link below.
https://brainly.com/question/13934673
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