Answer:
1) NOI = $90,240
2) NOI = 29,250
3) NOI = 133,260
4) NOI = 110,190
Explanation:
<em>The question is incomplete.</em>
<em />
<em>Sales (38,000 units) $342,000 ($9.00 per unit)</em>
<em>Variable expenses $228,000 ($6.00 per unit)</em>
<em>Contribution margin $114,000 ($3.00 per unit)</em>
<em>Fixed expenses $42,000 </em>
<em>Net operating income $72,000</em>
1. What is the revised net operating income if unit sales increase by 16%
If unit sales increase, we can calculate this with a 16% increase in the contribution margin.
![NOI=CM*(1+0.16)-FE=114,000*1.16-42,000=132,240-42,000\\\\NOI=90,240](https://tex.z-dn.net/?f=NOI%3DCM%2A%281%2B0.16%29-FE%3D114%2C000%2A1.16-42%2C000%3D132%2C240-42%2C000%5C%5C%5C%5CNOI%3D90%2C240)
2. What is the revised net operating income if the selling price decreases by $1.50 per unit and the number of units sold increases by 25%?
A reduction of $1.50 in price means a reduction of the same amount in the contribution margin per unit (CMu), as the variable expenses stay the same .
Also, the contribution margin increases by 25%, for the increase in units sold (q).
![NOI=CM_u*q-FE=(3.00-1.50)*(38,000*1.25)-42,000\\\\NOI=1.5*47,500-42,000=71,250-42,000\\\\NOI=29,250](https://tex.z-dn.net/?f=NOI%3DCM_u%2Aq-FE%3D%283.00-1.50%29%2A%2838%2C000%2A1.25%29-42%2C000%5C%5C%5C%5CNOI%3D1.5%2A47%2C500-42%2C000%3D71%2C250-42%2C000%5C%5C%5C%5CNOI%3D29%2C250)
3. What is the revised net operating income if the selling price increases by $1.50 per unit, fixed expenses increase by $6,000, and the number of units sold decreases by 6%?
The selliing price will be added to the contribution margin per unit.
The units sold are increased 6%.
![NOI=CMu*q-FE=(3.00+1.50)*38,000*1.06-(42,000+6,000)\\\\NOI=4.5*40,280-48,000=181,260-48,000\\\\NOI=133,260](https://tex.z-dn.net/?f=NOI%3DCMu%2Aq-FE%3D%283.00%2B1.50%29%2A38%2C000%2A1.06-%2842%2C000%2B6%2C000%29%5C%5C%5C%5CNOI%3D4.5%2A40%2C280-48%2C000%3D181%2C260-48%2C000%5C%5C%5C%5CNOI%3D133%2C260)
4. What is the revised net operating income if the selling price per unit increases by 20%, variable expenses increase by 30 cents per unit, and the number of units sold decreases by 11%?
The contribution margin per unit, with a increase in price and an increase in variable cost, becomes:
![CM_u=P-VE_u=9.00*(1.20)-(6.00+0.30)=10.80-6.30=4.50](https://tex.z-dn.net/?f=CM_u%3DP-VE_u%3D9.00%2A%281.20%29-%286.00%2B0.30%29%3D10.80-6.30%3D4.50)
The units sold is now:
![q'=(1-0.11)q=0.89q=0.89*38,000=33,820](https://tex.z-dn.net/?f=q%27%3D%281-0.11%29q%3D0.89q%3D0.89%2A38%2C000%3D33%2C820)
Then, the net operating income becomes:
![NOI=CM_u*q-FE=4.5*33,820-42,000=152,190-42,000\\\\NOI=110,190](https://tex.z-dn.net/?f=NOI%3DCM_u%2Aq-FE%3D4.5%2A33%2C820-42%2C000%3D152%2C190-42%2C000%5C%5C%5C%5CNOI%3D110%2C190)