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kotykmax [81]
3 years ago
6

Systems is a​ start-up company that makes connectors for​ high-speed Internet connections. The company has budgeted variable cos

ts of $ 125 for each connector and fixed costs of $ 4 comma 500 per month. ExpertNet​'s static budget predicted production and sales of 100 connectors in​ August, but the company actually produced and sold only 77 connectors at a total cost of $ 26 comma 000. ExpertNet​'s sales volume variance for total costs is
Business
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

Volume variance  $2,875  favorable

Explanation:

The volume variance is the difference between the standard cost of the budgeted production units and the actual cost of the actual production units.

                                                                                                       $

Standard cost of 100 units:

=  4,500 + (100× 125)                                                                17,000

Actual cost for 77 units ( 4,500 + (77× 125) =                        <u> 14,125 </u>

Volume variance                                                                     <u> 2,875  favorable</u>

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a) 0.0260

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Explanation:

a)

The bag contains:

r = 9 (number of red marbles)

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So, the total number of marbles in the bag at the beginning is:

n=9+5+6=20

At the 1st attempt, the probability of choosing a red marble is:

p(r)=\frac{r}{n}=\frac{9}{20} (1)

At the 2nd attempt, the 1st red marble is not placed back, so now the number of marbles is (n-1), while the number of red marbles left is (r-1). So the probability of choosing another red marble at the 2nd attempt is

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At the 1st draw, the probability that the marble is not red is:

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At the 2nd draw, there are 9 red marbles left and 19 total marble left. So, the probability of NOT drawing a red marble is:

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At the 3rd draw, there are 9 red marbles left and 18 total marbles left. So, the probability of NOT drawing a red marble is:

p(r^c)=1-\frac{9}{18}=\frac{9}{18}

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p(r^cr^cr^cr^c)=\frac{11}{20}\frac{10}{19}\frac{9}{18}\frac{8}{17}=\frac{7920}{116,280}=0.0681

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