b) Ahmad Co. produces two goods I and II, in amounts of q, and q2, and these are sold at prices piand p2 per unit, respectively. The demands for the two goods are given by P =17- (39 +2q ), p =14– _(4q +5q ) 14 And the total costs to produce qı and q2 of the two goods are C=8+qı+q2. i. Find the production levels that would maximize total profits ii The corresponding prices of the two goods ii. The maximum profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b) Ahmad Co. produces two goods I and II, in amounts of q, and q2, and these are sold at prices
piand p2 per unit, respectively. The demands for the two goods are given by
p =17- (39 +2q ), p_ =14– _(4q +5q )
+5q ?
2
2
14
And the total costs to produce q1 and q2 of the two goods are
C=8+qı +q2.
i. Find the production levels that would maximize total profits
The corresponding prices of the two goods
The maximum profit.
ii.
iii.
Transcribed Image Text:b) Ahmad Co. produces two goods I and II, in amounts of q, and q2, and these are sold at prices piand p2 per unit, respectively. The demands for the two goods are given by p =17- (39 +2q ), p_ =14– _(4q +5q ) +5q ? 2 2 14 And the total costs to produce q1 and q2 of the two goods are C=8+qı +q2. i. Find the production levels that would maximize total profits The corresponding prices of the two goods The maximum profit. ii. iii.
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