$\text{The general term of an arithmetic sequence:}\ a_n=a_1+(n-1)d\\\\a_n-n-th\ term\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ t_n=-5+(n-1)78.\ \text{Therefore}\ t_1=-5\ \text{and}\ d=78\\\\\text{The recursive formula of the sequence:}\\\\\left\{\begin{array}{ccc}t_1=-5\\t_n=t_{n-1}+78\end{array}\right$

5 0

2 years ago

Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which se

elena-s [515]

Answer:

Step-by-step explanation:

Let X be number of woodland bicyles and Y grande expedition

Our objective is to maximize profit

Z = 250x+350Y

Constraints are: 2x+3y<450 and

x+y<375

(given)

Solution gives negative y. Hence intersecting point is not within constraint.

So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x

i.e x=225 and y =150

To maximize revenue 225 Woodland and 150 Grande to be produced

4 0

3 years ago

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