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Sagot :
Let's tackle the problem step by step.
### Part a:
1. Calculate the Marginal Revenue Product (MRP):
The MRP is calculated by multiplying the number of packages delivered per day by the revenue generated per package.
[tex]\[ \text{MRP} = 1,500 \text{ packages/day} \times \$0.10 \text{ per package} = \$150.00 \][/tex]
So,
[tex]\[ MRP = \$150 \][/tex]
2. Calculate the Marginal Resource Cost (MRC):
The MRC in this case is simply the cost of renting the vehicle per day, which is [tex]\( \$100 \)[/tex].
[tex]\[ MRC = \$100 \][/tex]
3. Should the firm add this delivery vehicle?
The firm should add the delivery vehicle if the MRP is greater than the MRC.
[tex]\[ \text{Since } 150 > 100, \text{ the firm should add the vehicle.} \][/tex]
So, the answers for part a are:
[tex]\[ \begin{aligned} &\text{MRP} = \$150, \\ &\text{MRC} = \$100, \\ &\text{Should the firm add this delivery vehicle?} \, \text{Yes (1)}. \end{aligned} \][/tex]
### Part b:
1. Recalculate the MRP:
The MRP remains the same as it is still calculated by the number of packages delivered per day times the revenue generated per package.
[tex]\[ \text{MRP} = 1,500 \text{ packages/day} \times \$0.10 \text{ per package} = \$150.00 \][/tex]
So,
[tex]\[ MRP = \$150 \][/tex]
2. Recalculate the MRC considering the increased rental cost:
The new MRC with the increased rental cost is [tex]\( \$200 \)[/tex] per day.
[tex]\[ MRC = \$200 \][/tex]
3. Should the firm add this delivery vehicle?
The firm should add the delivery vehicle if the MRP is greater than the MRC.
[tex]\[ \text{Since } 150 < 200, \text{ the firm should not add the vehicle.} \][/tex]
So, the answers for part b are:
[tex]\[ \begin{aligned} &\text{MRP} = \$150, \\ &\text{MRC} = \$200. \end{aligned} \][/tex]
### Part a:
1. Calculate the Marginal Revenue Product (MRP):
The MRP is calculated by multiplying the number of packages delivered per day by the revenue generated per package.
[tex]\[ \text{MRP} = 1,500 \text{ packages/day} \times \$0.10 \text{ per package} = \$150.00 \][/tex]
So,
[tex]\[ MRP = \$150 \][/tex]
2. Calculate the Marginal Resource Cost (MRC):
The MRC in this case is simply the cost of renting the vehicle per day, which is [tex]\( \$100 \)[/tex].
[tex]\[ MRC = \$100 \][/tex]
3. Should the firm add this delivery vehicle?
The firm should add the delivery vehicle if the MRP is greater than the MRC.
[tex]\[ \text{Since } 150 > 100, \text{ the firm should add the vehicle.} \][/tex]
So, the answers for part a are:
[tex]\[ \begin{aligned} &\text{MRP} = \$150, \\ &\text{MRC} = \$100, \\ &\text{Should the firm add this delivery vehicle?} \, \text{Yes (1)}. \end{aligned} \][/tex]
### Part b:
1. Recalculate the MRP:
The MRP remains the same as it is still calculated by the number of packages delivered per day times the revenue generated per package.
[tex]\[ \text{MRP} = 1,500 \text{ packages/day} \times \$0.10 \text{ per package} = \$150.00 \][/tex]
So,
[tex]\[ MRP = \$150 \][/tex]
2. Recalculate the MRC considering the increased rental cost:
The new MRC with the increased rental cost is [tex]\( \$200 \)[/tex] per day.
[tex]\[ MRC = \$200 \][/tex]
3. Should the firm add this delivery vehicle?
The firm should add the delivery vehicle if the MRP is greater than the MRC.
[tex]\[ \text{Since } 150 < 200, \text{ the firm should not add the vehicle.} \][/tex]
So, the answers for part b are:
[tex]\[ \begin{aligned} &\text{MRP} = \$150, \\ &\text{MRC} = \$200. \end{aligned} \][/tex]
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