GoPro makes point-and-shoot cameras and handycams for amateur photographers and hobbyists. It also has a separate line of camera
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Answer:
The step by step answer to your problem is given below:
Explanation:
1A) Break even point for option 1:
Sales- Variable cost= Fixed cost
Q* $950-Q*$760= $7410
Q*$190= $7410
Q=$7410/$190
Q= 39 carpets
1B) Breakeven point for Option 2
Sales- variable cost-rent cost= 0
Q*$950- $760*Q- (Q*950*10%)= 0
95Q= 0
Q= 0
2. At what level of revenues will Cover Rugs earn the same operating income under either option?
Operating income under Option 1 = $190Q - $7140
Operating income under Option 2 = $95Q
We have to find Q such that $190Q - $7140 = $95Q
Q=$7410/$95= 78 Carpets
Revenue= $950 x 78 = $74,100
For Q = 78 Carpets, operating income under both option 1 and 2 will be = $7410
a. For what range of unit sales will Cover Rugs prefer Option 1? b. For what range of unit sales will Cover Rugs prefer Option 2?
For Q > 78, say 79 carpets:
Option 1 gives operating income= (190*79) - 7410= $7600
Option 2 gives operating income= 95*79= $7505
So color rugs will prefer Option 1.
For Q < 78, say 77 carpets:
Option 1 gives operating income= (190*77) - 7410= $7220
Option 2 gives operating income= 95*77= $7315
So color rugs will prefer Option 2.
3. Calculate the degree of operating leverage at sales of 65 units for the two rental options.
Operating Leverage=
= Contribution margin per unit x Numbers of Carpet Sold= Contribution Margin
Under Option 1,
Contribution Margin per unit= $950-$760=$190,
Operating income= $190*65-$7410= $4940.
Degree of Operating Leverage=
=2.5
Under Option 2,
Contribution Margin per unit= $950-$760-$760-0.10*$950=$95,
Operating income= $95x65-$0= $6175.
=1.0
4. Briefly explain and interpret your answer to requirement 3.
The degree of operating leverage helps managers calculate and anticipate the effects of fluctuations in sales on operating income. The calculation in requirement 3 show that when sales are 65 units, a % change in sales and contribution margin will result in 2.5 times that % change in operating income for option 1. But the same % change in Option 2 because there are no fix costs attached in option 2.
Answer: The probability that 25 or more out of 50 high speed chases result in minor or major accidents is 0.097807364 or 9.781%.
The rate of accidents at 0.40 is a constant rate, and hence we can use the binomial distribution to calculate the probability.
The formula for computing the probability with the binomial distribution is:
where
N is number of trials = 50
p is probability of of a hit in a single trial. In this case, p = 0.40
q is probability of of a miss in a single trial. Now for this question
x will take on the whole numbers from 25 and continue upto 50
The questions asks us to compute the probability that 25 or more chases will result in an accident.
We express this as P( X≥ 25) mathematically.
We can also express P( X≥ 25) as P (x=25) + P(x=26) + ................ + P(50) i.e the sum of all the individual probabilities when x assumes each of the values from 25 upto 50.
That's why x will take on each of the whole numbers from 25 to 50.
We can compute P( X=25) by substituting the values in the formula above.
Similarly we need to compute the probabilities for x =26, 27 and so on until x =50. The sum total of all these probabilities the answer.
The workings have been made in excel and are attached to this answer as a picture.
