Answer:
74.64%
Explanation:
Average sales (μ) = 50 hot dogs
Standard deviation (σ) = 7 hot dogs
In a normal distribution, the z-score for any given number of hot dogs sold, X, is determined by:

For X = 45 hot dogs:

For X = 65 hot dogs:

A z-score of -0.7143 falls in the 23.75th percentile of a normal distribution while a z-score of 2.1429 falls in the 98.39th percentile.
Therefore, the probability that he vendor will sell between 45 and 65 hot dogs is:

Answer:
For the answer to the question above asking if Mark and his friends regularly buy hot dogs from Jeff’s cart. Recently, Andrea opened a business selling two-for-one hamburgers near Jeff’s cart. What will be effect on Jeff’s hot dog cart?
Explanation:
the answer is, the demand for his hotdogs will decrease because he will have competitors.
Answer:
MOS( in %) = 20%
Explanation:
<em>Margin of safety (MOS) determines the amount by which expected sales exceeds the break-even point (BEP). </em>
MOS can be calculated as follows:
MOS (units) = Budgeted sales - BEP
BEP= Fixed cost for the period / contribution per unit
Contribution per unit = Selling price - variable cost per unit
Contribution per unit = $10 - $5 = $ 5
BEP (units) = 100,000/ 5= 20,000
MOS (in units) = 25,000 - 20,000 = 5000 units
Margin of Safety as a %
(5000/25,000 ) × 100= 20
%
MOS( in %) = 20%
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