Answer:
- a. <em>Break-even quantity:</em> <u>28,000 pens</u>
- b<em>. Price</em>: <u>$1.51 per pen</u>
Explanation:
1. Break-even quantity
<u>a) Revenue, R(x)</u>
The monthly revenue is the product of the price by the number of units sold in the month.
Naming x the number of pens sold in the month:
<u>b) Cost, C(x)</u>
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The monthly cost is the sum of the fixed cost per month plus the variable costs:
- C(x) = $21,000 + 0.25 × x = 21,000 + 0.25x
<u>c) Break-even</u>
Break-even is the point when the revenue and the total costs are equal, this is, when the profit is zero. Write the equation and solve:
Hence, the break-even quantity is 28,000 pens.
2. Price pens must be sold to obtain a monthly profit of $18,000
Profit = Revenue - Total cost
- P(x) = x.p - [ 0.25x + 21,000]
Where p is the price.
- P(x) = x.p - 0.25x - 21,000
Substitute the quantity demanded, x, with 31,000, and the profit, P(x) with 18,000:
- 18,000 = 31,000p - 0.25(31,000) - 21,000
Solve for p and compute:
- 31,000p = 18,000 + 7,750 + 21,000
That is $1.51 per pen.
Answer: The answer is given below
Explanation:
a. What is the extended list price of the order?
This will be gotten by multiplying the number of cases with the price list. From the question, we are told that Whole Foods Market ordered 12 cases of organic vegetable soup with a list price of $18.90 per case and 8 cases of organic baked beans with a list price of $33.50 per case.
Organic vegetable soup:
= 12 × $18.90
= $226.80
Organic baked beans= 8 × $33.50
= $268
Total = $226.80 + $268
= $494.80
b. What is the total amount of the trade discount on this order?
We are told that the wholesaler offered Whole Foods a 39% trade discount. This will be:
= 39% × $494.80
= 39/100 × $494.80
= 0.39 × $494.80
= $192.972
c. What is the total net amount Whole Foods owes the wholesaler for the order?
The total net amount will be the total price of the order and the discount. This will be:
= $494.80 - $192.972
= $301.828
Answer:
1.90
Explanation:
Calculation for how many cells that the company require to satisfy predicted demand
Using this formula
Numbers of cell=Projected annual demand/Annual capacity per cell
Based on the information given we were told that Annual demand is 50,000 units in which it is forecasted that within 2 years it will tripple which means that Annual demand will be calculated as:
Projected annual demand = 50,000*2 years
Projected annual demand=100,000
Let plug in the formula
Numbers of cell=100,000÷(220 units/day × 238 days/year)
Numbers of cell=100,000÷52,360
Numbers of cell=1.90
Therefore the amount of cells that the company require to satisfy predicted demand will be 1.90
Difference between the purchase price of the home and its current market price