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.
tbh idk some people has said he escaped others say hes still in there but whatever it is he needs to make another album.
Answer:
Gain from sale = $23,067
Explanation:
the none interest bearing note must be recorded at present value:
present value of the note = face value / (1 + r)ⁿ
- face value = $253,240
- r = 11%
- n = 3
PV = $253,240 / (1 + 11%)³ = $185,167
the note receivable must be recorded at $253,240, but $68,073 will be recorded as interest revenue.
the journal entry for the transaction should be:
January 1, 2020, sale of a building:
Dr Notes receivable 253,240
Dr Accumulated depreciation 101,140
Cr Building 263,240
Cr Interest revenue 68,073
Cr Gain from sale 23,067
Answer:
0.079
Explanation:
Price elasticity of demand using midpoint formula can be calculated as follows
Formula
Elasticity of demand = (change in quantity/average quantity)/(change in price/average price)
Calculation
Elasticity of demand = (600/10,900)/(-2.1/3.05)
Elasticity of demand =-0.055 / -0.688
Elasticity of demand =-0.079
working
Change in price (2-4.1) = -2.1
Average price (2+4.1)/2=3.05
Change in quantity (11,200-10600) = 600
average quantity (11,200+10,600)/2 = 10,900
The elasticity of demand is inelastic as the elasticity is below 1.