maths paper 4 help ???????? urgently

[brainiac]

hey guys please help me how to solve this part of the question ;

http://www.xtremepapers.me/CIE/Cambridg ... 5_qp_4.pdf
in this paper question 9 part , e and f






thanxx in advance :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll: :roll:

 

[Aahmsil]

Hope this helps !!!

Part (e)
A graph showing the various inequalities will have to be drawn.
From the wanted region within the graph, take all the possible points that have co-ordinates made up of whole numbers and not decimals such as (7.5,4)

Various possibilites: (Find these on the graph you've drawn)
1) (5,7) Cost = (5 x 20) + (7 x 10) = $170 ----------> Lowest cost 1
2) (6,6) Cost = (6 x 20) + (6 x 10) = $180
3) (6,5) Cost = (6 x 20) + (5 x 10) = $170 ----------> Lowest cost 2
4) (7,5) Cost = (7 x 20) + (5 x 10) = $190
5) (7,4) Cost = (7 x 20) + (4 x 10) = $180
6) (8,4) Cost = (8 x 20) + (4 x 10) = $200

The co-ordinates giving the lowest costs are hence, (5,7) and (6,5).
The answers are therefore:
1) 5 super, 7 mini
2) 6 super, 5 mini
[two answers have to be given]

Part (f)
Whenever they specify an exact value such as 11, it would not be an inequality. It would instead be an equation.

Inequality is when one object is:
1) smaller than the other OR
2) bigger than the other OR
3) not smaller than the other OR
4) not bigger than the other

Inequality is sometimes used to name a statement that one expression is smaller, greater, not smaller or not greater than the other.

Inequalities don't include equal to signs like in the case of equations.

The question here states that 'The taxi company decides to use 11 taxis for the group', no more, no less.
Hence the equation would be; x + y = 11 (no lesser than/greater than)

A line with the equation x + y = 11 will have to be drawn.
The results of this equation must therefore lie on the line.
Possible values in Part (e) that lie on this dotted line are therefore the answers.

The two points are:
(7,4) and (6,5)

x value represents 'Super taxis' while the y value represents 'Mini taxis'.

Since the company charges $30 for a 'Super taxi' and $16 for a 'Mini taxi', we can calculate the two possible total charges as follows:

1) Charge 1 = (7 x 30) + (4 x 16) = $274
2) Charge 2 = (6 x 30) + (5 x 16) = $260

Those were the answers for Part (f) (i)

Part (f) (ii)

The largest possible profit would obviously be given by Charge 1 in Part (f) (i) since it is more expensive than Charge 2 for customers.

However the question specifies 'profit' and to find this you'll have to use the formula; Profit = Income - Cost

Here the income is $274

The costs have to be calculated using the information given in Part (e) i.e. $20 for a 'Super taxi' and $10 for a 'Mini taxi'.

.: Cost = (7 x 20) + (4 x 10) = 180

Hence, Profit = Income - Cost = $274 - $180 = $94

Here's the marking scheme in case you want to verify: http://www.xtremepapers.me/CIE/Cambridge IGCSE/0580 - Mathematics/0580_s05_ms_4.pdf

Sorry I was late, hope that helped

Cheers !!! :good:

 

[Sagemaster]

thx for answer

 

[Aahmsil]

Anytime

No problem but do you think there's anything wrong ? :unknown:

If so, do tell me

Oh, and you're welcome !!!