Based on the profit functions of Apple and Samsung, their output if they successfully collude will be 65 units.
Because Apple and Samsung are two major producers of smartphones, collusion between them would increase their demand and allow them more control over their pricing.
In order to find out their total output after collusion, solve for their profit functions first.
Apple profit function:
= Price - (5Q - Q²)
= 200Q - Q² - Q(apple)Q(samsung) - 5(apple) - Q(apple)²
= 195Q(apple) - Q(apple)Q(samsung) - 2Qapple²
Samsung profit function:
= Price - (5Q - Q²)
= 195Q(samsung) - Q(apple)Q(samsung) - 2Qsamsung²
When differentiated, the formulas become:
2Qs + 4Qa = 195
4Qa + 8Qs = 390
After differentiating their profit functions, solve simultaneously to find out what their quantities would be to make profit.
This can then be solved simultaneously:
2Qs + 4Qa = 195
4Qa + 8Qs = 390
-6Qs = -195
Qs = 195/6
Qs = 32.5 units
Qa will be:
2Qs + 4Qa = 195
4Qa = 130
Qa = 32.5 units
Add up these units to find the total units between them.
The total units are:
= 32.5 + 32.5
= 65 units
Find out more on collusion at https://brainly.com/question/4052357.
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