(PLEASE HELP WITH THIS!!!! mwa)Two cost models are proposed for producing a particular product in order to maximize a profit. As the number of units of the product are produced, the costs decrease. The cost, in dollars, for model A is represented by the function y = −0.5x2 + 125, and model B is represented by the function y = 250(0.95)x−1, where x is the number of units produced. The table gives the costs for both models in producing the first 7 units of the product.
Units Produced Model A Cost Model B Cost
2 123.00 237.50
3 120.50 225.63
4 117.00 214.34
5 112.50 203.63
6 107.00 193.45
7 100.50 183.70
If the cost for both models continues in this pattern, will the cost of model B ever be lower than the costs of model A? Explain.
a
No, the function for model A is a quadratic function that decreases at a faster rate than the function for model B, which is a decreasing exponential function.
b
No, the function for model B is a quadratic function that decreases at a slower rate than the function for model A, which is a decreasing exponential function.
c
Yes, the function for model A is an exponential function that decreases at a faster rate than the function for model B, which is a decreasing quadratic function.
d
Yes, the function for model B is an exponential function that decreases at a slower rate than the function for model A, which is a decreasing quadratic function.
