Considering the Price of the new tyres and the recycled tires, Optimal usage of recycled have been taken wherever necessary,
conditions:
1. If the New Tyre cost is lower than the recycled, then the new tyres are bought
2. Price paid for recycled tyres is as per the buying Race type (eg-1,2,3,4,5,6,7)
3. There can be several permutations of the problem, however the best optimal opeerations managemnet is explained herein as under.
4. The price for the recycled are taken on the race day and not on the sent day-Important point (as the same is not specified in the question)
5. For Race 1 & 2 (only new tyres are procured assuming there is no existing inventory)
6. 3rd Week
a) For 3rd week (WET tyres) - 10 New tyres & 30 old tyres are considered
b) For 3rd week (DRY Tyres) - All 30 old tyres, at third race rate are considerd and 5 are left as inventory
7. 4th Week
a) WET Tyres- All new tyres are considered as the price is lesser than the recycled ones
b) DRY Tyres - 17 new tyres5 from week 3 and 28 from week 2 at th price of current week delivery.
8. 5th Week
a) WET Tyres - All new as the price is lower
b) DRY Tyres - 30 tyres bought at current week price & 60 tyres bought at new tyres rate.
9. 6th Week
a) WET Tyres- All bought new as the new tyres price is lower than the recycled tyres
b) DRY Tyres - 50 from week 4 has been recycled and bought at current week price, remaining 100 are bought as new Tyres
10. 7th Week
a) WET Tyres - 100 new tyres at current price are bought, 80 at recycled price sent for recycling in week 5
b) DRY Tyres -
Race/Type | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
WET Tyres (Total Price) | 1764 | 902 | 1258 | 1617 | 3320 | 8865 | 9806 |
DRY Tyres | 1067.5 | 1615.6 | 1602 | 2347.3 | 2032 | 3785 | 8682 |
Total Race wise | 2831.5 | 2517.6 | 2860 | 3964.3 | 5352 | 12650 | 18488 |
This is an idle solution. We also have several other permutations of buying new and recycled tyres.
Rates have been considered at current delivery race day, as the same is not specified in the question. and the payment for any recycle is made on the delivery date (Week used).
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Can you post the answers as a
formula?
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