assignment 1 ans.docx - 1.2 58 The total revenue is given by xp= x(−0.0004x 10)=− 0.0004x2 10x Therefore the total proﬁt is given by the revenue

# assignment 1 ans.docx - 1.2 58 The total revenue is given...

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1.2 58. The total revenue is given by xp= x (−0.0004x +10)=− 0.0004x2+10x. Therefore, the total profit is given by the revenue minus the cost: −0.0004x2+10x −0.0001x2+4x +400=− 0.0005x2+6x −400. 62. The difference is given by2.5t2+18.5t +509−−1.1t2+29.1t +429= 3.6t2 −10.6t +80 dollars. The difference at the beginning of 1998 is obtained by replacing t with 4, giving 3.6(4)2 −10.6(4)+80 =

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Unformatted text preview: 95.2, or \$95.20. The difference at the beginning of 2000 is given by 3.6(6)2−10.6(6)+80=146, or \$146. 1.3 10. 4uv2 (2u−v)+6u2v (v −2u)=4uv2 −6u2v(2u−v)=2uv (2u−v)(2v −3u). 56. −t3 +6t2 +15t =− tt2−6t −15. 1.4...
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