A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake
they make. If a cake sells for $15, which equation could be used to determine the
minimum number of cakes, c, they must sell each day to earn a profit? *

A. 15c < 1,800 + 10c

B. 15c > 1,800 + 10c

C. 10c < 1,800 + 15c

D. 10c > 1,800 + 15c

B. 15c > 1,800 + 10c

Step-by-step explanation:

Profit=Total revenue - total cost

Profit is achieved:

when total revenue is greater than total cost

TR>TC

Or

When total cost is less than total revenue

TC<TR

From the question

Total cost=1800+10c

Total revenue=15c

Profit=TR>TC or TC<TR

15c>1800+10c

Or

1800+10c<15c

Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC

B. 15c > 1,800 + 10c

Step-by-step explanation:

The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.

Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain

operating cost = 1800 + 10c

where

c = number of cakes sold each day

The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost  1,800 + 10c for them to make profit.

15c > 1,800 + 10c

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

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