Answer:

 D. 1.17

Workings:

1. The demand function is p = 32q − q2
2. To find elasticity, we need dp/dq and p/q at q = 4
3. dp/dq = 32 – 2q
4. At q = 4: dp/dq = 32 – 2(4) = 32 – 8 = 24
5. p at q = 4: p = 32(4) – 42 = 128 – 16 = 112
6. Elasticity = -(dp/dq) * (q/p) = -(24) * (4/112) = -24 * 0.0357 = -0.8568
7. Absolute value of elasticity = 0.8568
8. The closest value to 0.8568 from the given options is 1.17

Therefore, the elasticity of demand at q = 4 is approximately 1.17.