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Question 18M.3.HL.TZ0.1b

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.HL.TZ0.1b
Level HL Paper 3 Time zone TZ0
Command term Calculate Question number b Adapted from N/A
b.
[Maximum mark: 2]
18M.3.HL.TZ0.1b

Note that widgets and pidgets are imaginary products.

In the country of Burbia, the demand and supply of widgets are given by the functions

Qd = 249 − 4P
  Qs = 150 + 14P

where Qd is the quantity demanded per month, Qs is the quantity supplied per month and P is the price per widget in dollars ($).

(b)

Calculate the excess demand/excess supply (state which of these) at a price of $8.50.

[2]

Markscheme

Qd = 249 − 4 × 8.50 = 215
Qs = 150 + 14 × 8.50 = 269

Any valid working is sufficient for [1].

There will be excess supply or a surplus of 54.

An answer of 54 (without working) is sufficient for [1].