The quantity demanded x (in units of a hundred) of the mikado miniature cameras per week is related to the unit price p (in dollars) by p = −0.2x2 + 220 and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by p = 0.1x2 + 8x + 110. if the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (round your answers to the nearest dollar.

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: