Chapter 1: Introduction
2 Embedded System Design
A market window is the time period in which a given product is in demand,
specifically the time in which this product would yield the highest sales. Missing the
window could mean significant loss in sales.
1.6 Using the revenue model of Figure 1.4(b), derive the percentage revenue loss equation
for any rise angle, rather than just for 45 degrees (Hint: you should get the same
equation).
tan A = opposite / adjacent
opposite = tan A * adjacent
Revenue loss = ( (on time - delayed) / on time ) * 100%
Area of on time = 1/2 * base * height
= 1/2 * 2W * tan A * W
=tanA*W
2
Area of delay = 1/2 * base * height
=1/2*(W-D+W)*(tanA*(W-D))
=1/2*(2W-D)*(tanA*(W-D))
Revenue Loss = [ ( (tan A * W
2
)-(1/2*(2W-D)*tanA*(W-D)))/
(tan A * W
2
)] * 100%
=[(W
2
- (1/2 * (2W-D) * (W-D)) ) / W
2
] * 100%
=[(W
2
-1/2*(2W
2
-2WD-WD-D
2
))/W
2
] * 100%
=[(W
2
-1/2*(2W
2
-3WD-D
2
))/W
2
] * 100%
=[(2W
2
-2W
2
+3WD+D
2
)/2W
2
] * 100%
=[(3WD+D
2
)/2W
2
] * 100%
1.7 Using the revenue model of Figure 1.4(b), compute the percentage revenue loss if D =5
and W = 10. If the company whose product entered the market on time earned a total
revenue of $25 million, how much revenue did the company that entered the market 5
months late lose?
percentage revenue loss = ( D * ( 3W - D ) / 2W
2
) * 100%
=(5*(3*10-5)/2*10
2
) * 100%
= ( 5 * 25 / 200 ) * 100%
= 62.5%
revenue loss = $25,000,000 * 0.625
= $15,625,000
A
A
D2WW
W-D
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2012-06-27
20:13:44
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