MHB Solve Revenue Problem - Get Expert Help Now

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The discussion revolves around solving a revenue problem involving a duty reduction. The original revenue is expressed as R=0.06Q, and a new duty D is introduced, leading to the equation (2/3)R=D(3/2)Q. The user seeks guidance on setting up the proper equations without a given quantity Q. The derived formula for the new duty is D=(4/9)(R/Q), indicating a relationship between revenue and duty. Further assistance is requested to complete the solution process.
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Again here is another problem I am having trouble with.
View attachment 5644For this one

I let $x=$ amount reduced from the original duty
$6-x=$ new amount after reduction.
And knowing the formula for revenue $R=Q*P$ but I can't use it because there is no given quantity.

Please kindly guide me on how to set up proper equation for this one.
Thanks a lot!
 

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Initially, the revenue from the duty (in shillings) is given by:

$$R=0.06Q$$

When a new duty $D$ is imposed, we find:

$$\frac{2}{3}R=D\frac{3}{2}Q$$

Solving for $D$, we obtain:

$$D=\frac{4}{9}\cdot\frac{R}{Q}$$

Can you finish?
 
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