A company manufactures four grades of videotape: Normal, Extra, Super, and Supreme.Last year, the company sold a₁ boxes of Normal tapes for $5.00 each, a₂ boxes of Extra tapes for $5.50 each, a₃ boxes of Super for $6.00 each, and a₄ boxes of Supreme for $8.00 each.Let $\vec { a } = \left( a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 } \right)$ , $\vec { b } = ( 5,5.5,6,8 )$ , and $\vec { C } = ( 2,2.4,2.5,3 )$ .
(a)Compute $\vec { a } \cdot \vec { b } - \vec { a } \cdot \vec { C }$ .
(b)If the computation in part (a)represents the company's profit last year, then what does the vector $\vec { C }$ represent?

Question

A company manufactures four grades of videotape: Normal, Extra, Super, and Supreme.Last year, the company sold a₁ boxes of Normal tapes for $5.00 each, a₂ boxes of Extra tapes for $5.50 each, a₃ boxes of Super for $6.00 each, and a₄ boxes of Supreme for $8.00 each.Let

\vec { a } = \left( a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 } \right)

,

\vec { b } = ( 5,5.5,6,8 )

, and

\vec { C } = ( 2,2.4,2.5,3 )

.
(a)Compute

\vec { a } \cdot \vec { b } - \vec { a } \cdot \vec { C }

.
(b)If the computation in part (a)represents the company's profit last year, then what does the vector

\vec { C }

represent?

Quizplus · Accepted Answer

The Answer of A company manufactures four grades of videotape: Normal, Extra, Super, and Supreme.Last year, the company sold a₁ boxes of Normal tapes for $5.00 each, a₂ boxes of Extra tapes for $5.50 each, a₃ boxes of Super for $6.00 each, and a₄ boxes of Supreme for $8.00 each.Let $\vec { a } = \left( a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 } \right)$ , $\vec { b } = ( 5,5.5,6,8 )$ , and $\vec { C } = ( 2,2.4,2.5,3 )$ . (a)Compute $\vec { a } \cdot \vec { b } - \vec { a } \cdot \vec { C }$ . (b)If the computation in part (a)represents the company's profit last year, then what does the vector $\vec { C }$ represent?

A Company Manufactures Four Grades of Videotape: Normal, Extra, Super a⃗=(a1,a2,a3,a4)\vec { a } = \left( a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 } \right)a=(a1​,a2​,a3​,a4​)

A Company Manufactures Four Grades of Videotape: Normal, Extra, Super $\vec { a } = \left( a _ { 1 } , a _ { 2 } , a _ { 3 } , a _ { 4 } \right)$