# A level Further Maths Help

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#1
Hi, I would appreciate help in explaining why the answer ii is 10 and iii is 35. Thanks in advance.

Angelo manages a winter sports shop in a ski resort. He needs to decide how many snowboards and how many pairs of skis to purchase for the coming season to maximise his profit from hiring them out.
He has space for at most 250 snowboards and 500 pairs of skis.
Because there are more skiers than snowboarders Angelo will purchase at least 10% more pairs of skis than snowboards.
Both snowboards and skis need servicing, and his servicing facility can cope with no more than 600 units (ie snowboards or pairs of skis).
His expected profit from buying and renting out a snowboard is €40 for the season, and his expected profit from buying and renting out a pair of skis is €50 for the season.
(i) Define appropriate variables, construct inequality constraints, and draw a graph representing the feasible region for Angelo’s decision problem. [10]
(ii) Give the objective function and find the solution which will give the maximum profit. [3]
Angelo considers increasing the cost of snowboard hire so that snowboard profits rise enough to change the
optimal solution.
(iii) By how much will snowboard profits have to rise to change the optimal solution? Angelo increases the cost of snowboard hire and creates extra storage space for snowboards. (iv) What is the greatest number of extra snowboards it is worth Angelo accommodating?
0
1 month ago
#2
(Original post by Pravi29)
Hi, I would appreciate help in explaining why the answer ii is 10 and iii is 35. Thanks in advance.

Angelo manages a winter sports shop in a ski resort. He needs to decide how many snowboards and how many pairs of skis to purchase for the coming season to maximise his profit from hiring them out.
He has space for at most 250 snowboards and 500 pairs of skis.
Because there are more skiers than snowboarders Angelo will purchase at least 10% more pairs of skis than snowboards.
Both snowboards and skis need servicing, and his servicing facility can cope with no more than 600 units (ie snowboards or pairs of skis).
His expected profit from buying and renting out a snowboard is €40 for the season, and his expected profit from buying and renting out a pair of skis is €50 for the season.
(i) Define appropriate variables, construct inequality constraints, and draw a graph representing the feasible region for Angelo’s decision problem. [10]
(ii) Give the objective function and find the solution which will give the maximum profit. [3]
Angelo considers increasing the cost of snowboard hire so that snowboard profits rise enough to change the
optimal solution.
(iii) By how much will snowboard profits have to rise to change the optimal solution? Angelo increases the cost of snowboard hire and creates extra storage space for snowboards. (iv) What is the greatest number of extra snowboards it is worth Angelo accommodating?
0
1 month ago
#3
How on earth did this thread land up in the "Entertainment / Football" forum?
0
#4
(Original post by ghostwalker)
How on earth did this thread land up in the "Entertainment / Football" forum?
Sorry, I published it and then realised it had automatically sorted into ‘football’.
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#5
(Original post by Muttley79)
Hi, I am mainly skimming through a few questions quickly and have realised I need to draw a graph with the feasible solution however I was wondering whatbalterations I would need to make to the graph to the answer the questions.
0
1 month ago
#6
(Original post by Pravi29)
Hi, I am mainly skimming through a few questions quickly and have realised I need to draw a graph with the feasible solution however I was wondering whatbalterations I would need to make to the graph to the answer the questions.
We can't do questions for you
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#7
(Original post by Muttley79)
We can't do questions for you
Not asking for you to do it - I am just asking for guidance. Anyway, I would appreciate if anybody who can actually help replies.
0
1 month ago
#8
(Original post by Pravi29)
Not asking for you to do it - I am just asking for guidance. Anyway, I would appreciate if anybody who can actually help replies.
Without seeing what you tried it's impossible to give you a hint which is what the forum rules allow. Just upload your work.
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