Respuesta :
Answer:
D $359.60
Step-by-step explanation:
We start by calculating the per-person cost for a full car and for a full minibus.
For a car with 4 members, the cost per person is:
[tex]c_{c4}=\dfrac{0.9\cdot (50+12*3)}{4}=\dfrac{77.4}{4}=19.35[/tex]
A car with 3 members will cost per person:
[tex]c_{c3}=\dfrac{0.9\cdot (50+12*2)}{3}=\dfrac{74}{3}=24.67[/tex]
For the minibus (10 people) the cost per person is:
[tex]c_m=\dfrac{242-30}{10}=\dfrac{212}{10}=21.20[/tex]
The full car is cheaper per person, but if we fill 4 cars with 4 people each, there is one person left, and it will cost an additional $50.
This option will cost:
[tex]C_1=4\cdot(4c_c)+c_1=4*4*19.35+50=309.60+50=359.60[/tex]
As a 3-person car is considered full and have discount, we can arrange 2 cars with 4 people (8 people total) and 3 cars with 3 people (9 people total), and then complete the team of 17.
This would have the cost:
[tex]C_2=2*(4c_{c4})+3*(3c_{c3})=2*(4*19.35)+3*(3*24.67)=154.8+222.03=376.83[/tex]
The third option, would be use the minibus (10 people) and 2 cars: one with 4 people and the other with 3. This would have a cost of:
[tex]C_3=10*c_m+4*c_{c4}+3*c_{c3}=212+4*19.35+3*24.67\\\\C_3=212+77.4+74=363.4[/tex]
As this are the best options, the lowest cost is $359.60.
