Noah and Naomi can produce garden benches, garden chairs or both; they are price takers in both mark

Noah and Naomi can produce garden benches, garden chairs or both; they are price takers in both markets. Their cost function for garden benches is:

CB(QBQC)= 80QB + (QB)2+QBQC

and Marginal Cost = MCB=80+2QB+QC

Cost Function for Garden Chairs: CC(QBQC)=25QC+(Qc)2+QCQB

Marginal Cost: MCC=25+2QC+QB

The price of a garden bench PB=$120, the price of a garden chair PC=$60

a.  What are Noah and Naomi's profit-maximizing sales quantities of benches and chairs. Round to one decimal place and show work for Benches and Chairs.

b.  What is the profit-maximizing quantities if the price of benches increases to $135? Round your answers to 1 decimal place and show work.

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