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

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

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 ($).

(c)

Calculate the price at which excess demand of 18 widgets would result.

[2]

Markscheme

249 − 4P = 150 + 14P + 18
81 = 18P

Any valid working is sufficient for [1].

P = $4.50

An answer of 4.50 (without working) is sufficient for [1].