What is the demand and cost function for Team Delta?
| Delta Profit | Delta Quantity | Delta Price | Alpha Price | Beta Price | Gamma Price | Alpha Quantity | Beta Quantity | Gamma Quantity | Alpha Profit | Beta Profit | Gamma Profit |
| $ 3,460.00 | 70.00 | $ 98.00 | $ 60.00 | $ 120.00 | $ 60.00 | 216.00 | 0.00 | 260.00 | $ 6,640.00 | $ (2,000.00) | $ 8,400.00 |
| $ 2,183.00 | 89.00 | $ 67.00 | $ 55.00 | $ 57.00 | $ 70.00 | 199.00 | 189.00 | 74.00 | $ 4,965.00 | $ 4,993.00 | $ 1,700.00 |
| $ 3,664.60 | 209.80 | $ 47.00 | $ 65.00 | $ 57.40 | $ 55.00 | 79.00 | 117.00 | 169.80 | $ 1,555.00 | $ 2,375.80 | $ 3,946.00 |
| $ 2,514.90 | 196.30 | $ 43.00 | $ 51.25 | $ 54.40 | $ 55.00 | 139.75 | 124.00 | 136.30 | $ 2,367.18 | $ 2,265.60 | $ 2,770.50 |
| $ 2,830.80 | 185.80 | $ 46.00 | $ 53.50 | $ 54.40 | $ 57.00 | 138.50 | 134.00 | 130.80 | $ 2,639.75 | $ 2,609.60 | $ 2,839.60 |
| $ 2,967.20 | 177.40 | $ 48.00 | $ 52.80 | $ 55.90 | $ 54.00 | 140.00 | 124.50 | 147.40 | $ 2,592.00 | $ 2,469.55 | $ 3,011.60 |
Cost (C) = TR - Profit where TR = P x Q
| Delta Profit | Delta Quantity | Delta Price | Delta TR | Delta Cost |
| 3460 | 70.0 | 98 | 6860 | 3400 |
| 2183 | 89.0 | 67 | 5963 | 3780 |
| 3665 | 209.8 | 47 | 9860.6 | 6196 |
| 2515 | 196.3 | 43 | 8440.9 | 5926 |
| 2831 | 185.8 | 46 | 8546.8 | 5716 |
| 2967 | 177.4 | 48 | 8515.2 | 5548 |
(I)
Demand: P = a - bQ
98 = a - 70b............(1)
67 = a - 89b............(2)
(1) - (2) yields
19b = 31
b = 1.63
a = 98 + 70 x 1.63 = 98 + 114.1 = 212.1
Demand: P = 212.1 - 1.63Q
(II)
Cost: C = c + dQ
3400 = c + 70d..........(1)
3780 = c + 89d..........(2)
(2) - (1) yields
19d = 380
d = 20
c = 3400 - 70 x 20 = 3400 - 1400 = 2000
Cost: C = 2000 + 20Q
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