Find the producers' surplus if the supply function for pork bellies is given by the following.
$S (q) = q^{5 / 2} + 2 q^{3 / 2} + 52$
Assume supply and demand are in equilibrium at $q = 25$ .
The producers' surplus is $$$ .
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answer

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Final Answer: The producers' surplus is $59553.57$ .

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Step 1 ：The supply function for pork bellies is given by $S (q) = q^{5 / 2} + 2 q^{3 / 2} + 52$ .

Step 2 ：The equilibrium quantity is given as $q = 25$ .

Step 3 ：The equilibrium price can be found by substituting $q = 25$ into the supply function, which gives us $3427.00$ .

Step 4 ：The producer surplus can then be calculated as the integral of the supply function from 0 to the equilibrium quantity, subtracted from the product of the equilibrium price and quantity.

Step 5 ：By calculating, we find that the producer surplus is $59553.57$ .

Step 6 ：Final Answer: The producers' surplus is $59553.57$ .

Find the producers' surplus if the supply function for pork bellies is given by the following.S(q)=q5/2+2q3/2+52Assume supply and demand are in equilibrium at q=25.The producers' surplus is $.(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answer

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Find the producers' surplus if the supply function for pork bellies is given by the following.
$S (q) = q^{5 / 2} + 2 q^{3 / 2} + 52$
Assume supply and demand are in equilibrium at $q = 25$ .
The producers' surplus is $$$ .
(Type an integer or decimal rounded to the nearest hundredth as needed.)