Okay, So part a wants us to find a total manufacturing costs. I'm gonna call that t. Um, so t of lower case team eyes gonna equal r m I just cost of materials plus the cost of benefits, because the total cost is just gonna be to t plus one plus 0.0 point one T square plus two, which is equal to in standard form 0.1 t squared plus two t was three. Okay, part being by the function that represents how much more the operating costs our than the cost of materials. Um Okay, so, uh, let's call it difference. So the difference in the cost? Um, it wants to know how much more the operating costs are. So it's gonna be see if team to cost of benefits minus the cost of the materials. Okay, so that's gonna be 0.1 t squared. Plus two minus. Ah to t plus one. So sweet plus two U minus one, which is gonna be a close one. Okay. Apart. See, Says what was the cost of operations in the 10th month? Ah, after operations began. So that's gonna be the total cost because the parts He just wants the cost of operations in the 10th month. So it's just gonna be see of 10 because he was in months. So it's just gonna be 0.1 times 10 squared, plus two. So the total cost it's in, uh, thousands of dollars. So 100 times 1000.1 is 10 says coming $12,000. Okay, Part D, uh, one ones. How much less where the operating costs and the cost of materials in the 10th month. Okay, so that's just gonna be our difference. And so are different. Should give us a negative number because it says that materials is greater. And so we're just gonna flip that negative. So negative difference in the 10th month is together Tiempo to 10 is gonna be equal. Teoh, uh, 0.1 times 10 squared minus two times 10 bus one. And really, we have to take the negative of whatever we get there. Let's give it a 10 minus 20 which is negative. 10 plus one is negative nine. And so because they have to flip it, the total difference is gonna be $9000. Okay, Part E from the fraction represents the profit earned by the company. So profit it's gonna equal the revenue minus the total cost of manufacturing. Because the revenue waas ah, 10 rooty. I'm gonna subtract our total cost, which was 0.1 t squared. What's to t plus three? Okay, to simplify that, we're gonna have negative 0.1 T square minus two t minus three plus 10 rooty and then, uh, so find the profit in the fifth month and 10th months. Okay, so p of five, we're gonna just plug in five. So we have negative 0.1 times five squared minus two times five minus three plus 10 reply. Okay, so let's go plug that into a calculator. This is a little profit after five months is gonna be 6.8 6000 Okay? And the profit After 10 months, we're just gonna plug in 10 instead of five. So let's go back to your calculator. Change all those tens that you just put in or five. You just put into tens. That's the profit After 10 months is gonna be negative. Um, 1.3 8000. And so it says to comment on it. Um, so it looks like we're going down. So as the company goes into, um, further down the line, it looks like it starts losing more and more money after five months is doing pretty well. But, uh, after 10 months, we're starting to lose money. Okay, Thank you very much.