In the first month after opening, a mobile phone shop sold 280 phones. A model for future trading assumes that sales will increase by x phones per month for the next 35 months.
(280 + x) sold in the second month
(280 + 2x) sold in the thrid month and so on.
Using the model, with x = 5, calcuate:
a) The number of phones sold in the 36th month
a = 280
d = x
n = 36
a + d(n - 1)
280 + 35x
Sub in x = 5, 280 + 35(5) = 280 + 175 = 455
b) The total number of phones sold over the 36 months.
n = 36 a = 280 d = 5
Sn = 18(560 + 175) = 13230
c) The shop sets a sales target of 17000 phones to be sold over 36 months.
Find least possible value of x to achieve this target.
Sn = 17000 a = 280 d = ? n = 36
17000 = 18(560 + 35x)
17000 = 10080 + 630x
630x = 6920
least value of x = 10.9841
Can anyone confirm my answers are correct?
Thanks alot.
(280 + x) sold in the second month
(280 + 2x) sold in the thrid month and so on.
Using the model, with x = 5, calcuate:
a) The number of phones sold in the 36th month
a = 280
d = x
n = 36
a + d(n - 1)
280 + 35x
Sub in x = 5, 280 + 35(5) = 280 + 175 = 455
b) The total number of phones sold over the 36 months.
n = 36 a = 280 d = 5
Sn = 18(560 + 175) = 13230
c) The shop sets a sales target of 17000 phones to be sold over 36 months.
Find least possible value of x to achieve this target.
Sn = 17000 a = 280 d = ? n = 36
17000 = 18(560 + 35x)
17000 = 10080 + 630x
630x = 6920
least value of x = 10.9841
Can anyone confirm my answers are correct?
Thanks alot.