SOLUTION: Please help me to solve this problem. The demand function for a product is {{{p=50/(q+5)}}}, where p is the price per unit (in dollars) for q units, the supply function is {{{q=q/1

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Please help me to solve this problem. The demand function for a product is {{{p=50/(q+5)}}}, where p is the price per unit (in dollars) for q units, the supply function is {{{q=q/1      Log On

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Question 465556: Please help me to solve this problem. The demand function for a product is p=50%2F%28q%2B5%29, where p is the price per unit (in dollars) for q units, the supply function is q=q%2F10%2B4.5. Determine consumers surplus and producers surplus under market equilibrium.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
To find the value of q in which equilibrium happens, must have
50%2F%28q%2B5%29+=+q%2F10+%2B+4.5.
==>500 = (q+5)(q + 45), after cross-multiplication
==> 0+=+q%5E2+%2B+50q+-+275, after further simplification.
==> (q-5)(q+55) = 0 ==> q = 5. (Eliminate q = -55).
when q = 5, demand and supply are both equal to 5.
==> Consumer's surplus = , to 2 decimal places.
==> Producer's surplus = .