Question

utopia produces only two products: cheese and wine. the production levels are shown in the table below.

cheese		wine
0	0	0	0
20	105	20	140
40	175	40	245
60	228	60	333
80	263	80	368
100	281	100	385

a. from this data, complete utopias production possibilities table below.

possibility	a	b	c	d	e	f
wine						0

b. utopia (click to select) produce 228 cheese and 333 wine.

c. if utopia is at d, the total cost of 35 more cheese is \\(\boxed{}\\) wine.

d. if utopia is at d, the total cost of 88 more wine is \\(\boxed{}\\) cheese.

Explanation:

Step1: Fill production possibilities table

Match % inputs to outputs:

• Possibility A: 0 cheese, 385 wine
• Possibility B: 105 cheese, 368 wine
• Possibility C: 175 cheese, 333 wine
• Possibility D: 228 cheese, 245 wine
• Possibility E: 263 cheese, 140 wine
• Possibility F: 281 cheese, 0 wine

Step2: Assess feasibility of 228+333

Check if 228 cheese (60% inputs) and 333 wine (60% inputs) use >100% total inputs: $60\% + 60\% = 120\% > 100\%$, so cannot produce.

Step3: Calculate cost of 35 more cheese at D

At D: 228 cheese, 245 wine. 35 more cheese = $228+35=263$ cheese (80% inputs). New wine output = 140. Cost = $245 - 140 = 105$ wine.

Step4: Calculate cost of 88 more wine at D

At D: 228 cheese, 245 wine. 88 more wine = $245+88=333$ wine (60% inputs). New cheese output = 175. Cost = $228 - 175 = 53$ cheese.

Answer:

a.

Possibility	A	B	C	D	E	F
Wine	385	368	333	245	140	0

b. cannot

c. 105

d. 53