Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you spend the corresponding number of hours on that project: How would you allocate your time across the projects? What is the maximum total money you could make?

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Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you spend the corresponding number of hours on that project:

How would you allocate your time across the projects?
What is the maximum total money you could make?

 

PROBLEM (1) Suppose you have t = 5 hours in total to spend on some projects to make some money. The table
below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you
spend the corresponding number of hours on that project:
MR1
Time
allocated
0
1
2
3
4
5
Project I
TR
$0
$10
$16
$20
$20
$20
Project II
TR
$0
$7
$12
$15
$16
$16
MR2
Project III
TR
$0
$9
$17
$23
$25
$25
MR3
How would you allocate your time across the projects?
What is the maximum total money you could make?
HINT: You can use the empty columns to write down the marginal revenues for each project and figure
out the optimal allocation.
Transcribed Image Text:PROBLEM (1) Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below shows how many dollars you can make (Total Revenue) in each of the three projects I, II, III if you spend the corresponding number of hours on that project: MR1 Time allocated 0 1 2 3 4 5 Project I TR $0 $10 $16 $20 $20 $20 Project II TR $0 $7 $12 $15 $16 $16 MR2 Project III TR $0 $9 $17 $23 $25 $25 MR3 How would you allocate your time across the projects? What is the maximum total money you could make? HINT: You can use the empty columns to write down the marginal revenues for each project and figure out the optimal allocation.
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