The sales from a soda pop vending machine are given by S(b,v)= .133bv^2, where b is the number of businesses on the same floor of the building as the machine and v is the number of different kinds of soda in the machine (v for variety). 1.Calculate S(4,8) and explain it’s meaning in the context of this problem. 2.Calculate S (v)(4,8) and explain it’s meaning in the context of this problem.

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1. S(4,8) = 0.133 *4*64 = 34, when there are 4 businesses on the same floor of the building as the machine and there are 8 different kinds of sodas in the machine, the sale of the soda machine is 34.

2. Sv(4,8 ) = ds/dv (4,8) = 0.266 b*v = 0.266*4*8 =8.5, when there are 4 businesses on the same floor of the building as the machine and there are 8 different kinds of sodas in the machine, if the number of sodas increases by 1, the sales in sodas increases by 8.5.

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