Jerrica is selling calendars to raise money for a community group she belongs to. a basic calendar sells for $10 and a deluxe calendar sells for $15. the number of deluxe calendars jerrica sells must be greater than or equal to 3 times the number of basic calendars she sells. she has at most 72 calendars to sell. the number of basic calendars sold is represented by x and the number of deluxe calendars sold is represented by y. what is the maximum revenue she can make? a. $810 b. $990 c. $1080 d. $1296

The correct answer is option B.

Let the basic calendars be = x

Let the deluxe calendars be = y

Total calendars are = 72 , so equation becomes:

 .............(1)

Cost of 1 basic calendar = $10

So, cost of all basic calendars will be = 10x

Cost if 1 deluxe calendar = $15

So, cost of all deluxe calendars = 15y

As given, the number of deluxe calendars must be greater than or equal to 3 times the number of basic calendars, the equation becomes

y=3x ...............(2)

Putting the value of y from (2) in (1)

x=18

As, y=3x

y=

So we have 18 basic calendars and 54 deluxe calendars.

Cost of 18 basic calendars will be=

Cost of 54 deluxe calendars will be =

So total amount is = $990

Hence, the maximum revenue is $990.

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step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5