ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for equations for these Thingamajigs are 91 120 1.5p₁ + P₂ and 92 = 100 + 2p1 - 3p2 where p₁ and på are the prices that ACME sets for Type 1 and Type 2 Thingamajigs, respectively, and ₁ and 2 are the corresponding weekly demands for these goods. ACME's weekly production cost is given by c = 40q₁ +30q2 + 2000. The prices that ACME should set to maximize their weekly profit are n*

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**ACME Thingamajigs Ltd. Production and Profit Maximization**

ACME Thingamajigs Ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand equations for these thingamajigs are:

\[ q_1 = 120 - 1.5p_1 + p_2 \]
\[ q_2 = 100 + 2p_1 - 3p_2 \]

where \( p_1 \) and \( p_2 \) are the prices that ACME sets for Type 1 and Type 2 Thingamajigs, respectively, and \( q_1 \) and \( q_2 \) are the corresponding weekly demands for these goods.

ACME's weekly production cost is given by:
\[ c = 40q_1 + 30q_2 + 2000 \]

The prices that ACME should set to *maximize* their weekly profit are \( p_1^* = \) [Select] and \( p_2^* = \) [Select], and their maximum weekly profit is \( \pi^* = \) [Select].
Transcribed Image Text:**ACME Thingamajigs Ltd. Production and Profit Maximization** ACME Thingamajigs Ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand equations for these thingamajigs are: \[ q_1 = 120 - 1.5p_1 + p_2 \] \[ q_2 = 100 + 2p_1 - 3p_2 \] where \( p_1 \) and \( p_2 \) are the prices that ACME sets for Type 1 and Type 2 Thingamajigs, respectively, and \( q_1 \) and \( q_2 \) are the corresponding weekly demands for these goods. ACME's weekly production cost is given by: \[ c = 40q_1 + 30q_2 + 2000 \] The prices that ACME should set to *maximize* their weekly profit are \( p_1^* = \) [Select] and \( p_2^* = \) [Select], and their maximum weekly profit is \( \pi^* = \) [Select].
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