Answer:
C. v < (3au - 60)/2b
Step-by-step explanation:
Given
au/2 - bv/3 > 10
Required
Solve for v
We start by rewriting the inequality
au/2 - bv/3 > 10 becomes
½(au) - ⅓(bv) > 10
Multiply both sides by 6
6 * ½(au) - 6 * ⅓(bv) > 6 * 10
3au - 2bv > 60
Make -2bv the subject of formula
-2bv > 60 - 3au
Multiply both sides by -½
[When multiplying or dividing an inequality by a negative number, the sign of the inequality will change]
-½ * -2bv < -½(60 - 3au)
bv < -½(60 - 3au)
bv < ½(3au - 60)
bv < (3au - 60)/2
Divide both sides by b
v < (3au - 60)/2b
Option C is correct
Answer:
Number of units to sell= 112 units
Step-by-step explanation:
Giving the following information:
Unitary contribution margin= $40
Fixed costs= $2,480
Desired profit= $2,000
<u>To calculate the number of units to be sold, we need to use the following formula:</u>
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (2,480 + 2,000) / 40
Break-even point in units= 112 units
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
-0.7166666666666666 that is the answer I got but can be rounded to -0.72