Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer p
lant if he wants to spend no more than $5,000 on seed
1 answer:
Answer:
Step-by-step explanation:
Let the number of acre of corn planted =x
Let the number of acre of soybeans planted =y
Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.
- Seed Cost for x acre of corn = $40x
- Seed Cost for y acre of soybeans = $32y
The farmer wants to spend no more than $5,000 on seed.
Therefore the linear inequality is:
Next, we graph the inequality
The graph is attached below.
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Answer:
<em>Part A) </em>170.66$ would be the original price.
<em>Part B) </em>256$ would be the price that the store paid for the music player.
<em>Part B) </em><em>What you need to balance is your </em><em>markup</em><em>, meaning how much to raise your price, and your </em><em>markdown or discount</em><em>, meaning, how to much to decrease prices.</em>
Step-by-step explanation:
<em>Part A) Determining the Original Price</em>
<em>Note: when a shopkeeper devalues of a certain product or commodity as he/she is being unable to sold the product or commodity at the original selling price that was planned, it normally means the product or commodity is being markdown due to certain issues.</em>
So, a music player was marked down by 1/4 of the original price, and we have to calculate the original price if the sales price is $128.
Let 'p' be the original price
As a music player was marked down by 1/4 of the original price
So, Markdown = 1/4p
As the sales price is $128
As the Sale price = ⇒
<em>Hence, 170.66$ would the original price.</em>
<em>Part B) Determining the Price that the store paid for the music player</em>
<em>When an amount is added to the cost price of a product or commodity in order to determine the selling price, it means the the product or commodity is being marked up</em>.
So, as the music player was marked up by 1/2 before it was placed on the sales floor and we have to determine the price that store paid for the player.
So, dividing the original price by 2 and adding the result to the original price would give us the price that store had to pay for the music player.
As the original price is 170.66.
So, the price that the store paid for the music player can be calculated as:
price = 170.66 + 170.66/2
price = 170.66 + 85.33
price = 255.99$ ≈ 256$
<em>Therefore, 256$ was the price that the store paid for the music player.</em>
<em>Part C) Determining the difference between the discount price and the price that the store paid for the music</em>
For example, let suppose you are a shopkeeper and have a jeans fabric business. You want to make money from it. But, in order to earn money from selling jeans fabric, you have to make sure that your price must be at the right value price both in terms of generating money and also giving your customer a great value for the money to given them a decent deal.
What you need to balance is your markup, meaning how much to raise your price, and your markdown, meaning, how to much to decrease prices.
In business, the conditions may never always remain favorable due to certain circumstance, hence bad days. Sometimes, the conditions get ideal for business, hence good days.
As I earlier sated that when a shopkeeper devalues of a certain product or commodity as he/she is being unable to sold the product or commodity at the original selling price that was planned, it normally means the product or commodity is being markdown due to certain issues.
For example, the cost price of 1 Jeans fabric is 10$, and you want to earn profit. So, you mark up your fabric to 30$. As $30 is $20 more than $10. So, markup value will be 2. In terms of percentage, it means you have a markup of 200%.
But, due to certain issues, your sales are being effected due to certain condition. In order to not affect the sales, you want to markdown the price - <em>a kind of discount</em>. Your starting price was $30 and want to decrease the price to $20. It means the difference is $10. So, you have made a markup or given a discount of $30/$10 = 0.33. In terms of percentage, it is around 33%. So, you have given the <em>discount</em> of 33% to hope for the great sales.
So, in the question, when the music player was marked down by 1/4 of the original price, it means the <em>discount of 1/4</em> of the original price was provided. As the sale price was $128, and original price was $170.66. So, <em>discount of 1/4 or 25%</em> was offered.
As the original price was $170, and it was marked up by 1/2 by the owner or creator of music player before it was placed on the sales floor. So, 256$ was the price that the store paid for the music player.
<em>Keywords: markdown, markup, discount, price</em>
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Answer:
And the 96% confidence is given by (110.06; 117.34)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=9.1 represent the sample standard deviation
n=29 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence is 0.96 or 96%, the significance is and
, and the critical value would be
Replacing the info we got:
And the 96% confidence is given by (110.06; 117.34)