Question

Suppose rick brings 16 donuts to work and has to decide how many of the 16 to give to shane and how many to give to Miriam. Assume that together they will consume all 16 donuts and ignore fractional donuts is ricks objective is to maximize the sum of the total personal use value of donuts consumed by shane and Mirium, how should he allocate the donuts? For example, should he give 8 to each? 16 to Mirium and none to shane? Or some other combination? Propose an allocation and write a sentence or two describing what you propose as an approach

Number of Donuts	Shane's       Marginal Personal Use Value	Miriam's       Marginal Personal Use Value
0	$0.00	$0.00
1	$2.00	$1.50
2	$1.90	$1.45
3	$1.80	$1.40
4	$1.70	$1.35
5	$1.60	$1.30
6	$1.50	$1.25
7	$1.40	$1.20
8	$1.30	$1.15
9	$1.20	$1.10
10	$1.10	$1.05
11	$1.00	$1.00
12	$0.90	$0.95
13	$0.80	$0.90
14	$0.70	$0.85
15	$0.60	$0.80
16	$0.50	$0.75
17	$0.40	$0.70
18	$0.30	$0.65
19	$0.20	$0.60