Auto Bull's-Eye offers a 10-minute oil change and 30-minute brake check. There are two technicians who perform each of these services. Next week, the shop is offering a discounted oil change. How might this affect the production possibilities curve for next week?

A. The shop would decrease the brake-check price to eliminate scarcity.

B. The shop would increase worker pay to make up for the opportunity cost of not doing brake checks.

C. The shop would shift production to oil changes and away from brake checks.

D. The shop would shift production to brake checks and away from oil changes.

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!