Based on the profit functions of Apple and Samsung, their output if they successfully collude will be 65 units.
<h3>What is the total output if there is collusion?</h3>
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.
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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 brainly.com/question/4052357.
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