In the text,we showed that the multiproduct cost function $C \left( Q _ { 1 } , Q _ { 2 } \right) = f + a Q _ { 1 } Q _ { 2 } + \left( Q _ { 1 } \right) ^ { 2 } + \left( Q _ { 2 } \right) ^ { 2 }$ exhibits cost complementarity whenever $a < 0$ and economies of scope whenever $f - a Q _ { 1 } Q _ { 2 } > 0$ .
a.Can cost complementarity exist without economies of scope?
b.Can there be economies of scope when cost complementarities exist?

Question

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The Answer of In the text,we showed that the multiproduct cost function $C \left( Q _ { 1 } , Q _ { 2 } \right) = f + a Q _ { 1 } Q _ { 2 } + \left( Q _ { 1 } \right) ^ { 2 } + \left( Q _ { 2 } \right) ^ { 2 }$ exhibits cost complementarity whenever $a < 0$ and economies of scope whenever $f - a Q _ { 1 } Q _ { 2 } > 0$ .
a.Can cost complementarity exist without economies of scope?
b.Can there be economies of scope when cost complementarities exist?

In the Text,we Showed That the Multiproduct Cost Function C(Q1,Q2)=f+aQ1Q2+(Q1)2+(Q2)2C \left( Q _ { 1 } , Q _ { 2 } \right) = f + a Q _ { 1 } Q _ { 2 } + \left( Q _ { 1 } \right) ^ { 2 } + \left( Q _ { 2 } \right) ^ { 2 }C(Q1​,Q2​)=f+aQ1​Q2​+(Q1​)2+(Q2​)2

In the Text,we Showed That the Multiproduct Cost Function $C \left( Q _ { 1 } , Q _ { 2 } \right) = f + a Q _ { 1 } Q _ { 2 } + \left( Q _ { 1 } \right) ^ { 2 } + \left( Q _ { 2 } \right) ^ { 2 }$