Question

You are selling cookies at different rates the first rate is $1.25 per cookie for less than 12 cookies.The second rate is $1.00 per cookie for a dozen (12 cookies) and $0.75 for each additional cookie.Select all the constraints that apply to this situation.

a) $1.25x when x <12
b) $12.00 + $0.75(x-12) when x>12
c) $1.25x when x _>120.75x when x >12
d) $12.00 + $0.75x when x >12

Answer 1

The correct constraints for cookie pricing are $1.25 per cookie for quantities less than 12 and a rate of $12.00 plus $0.75 for each additional cookie beyond the first dozen. Options a) and b) represent these pricing structures correctly.

Step-by-step explanation:

Understanding the Cookie Pricing Constraints

Based on the given situation, the correct constraints for the different rates at which cookies are sold are as follows:

• $1.25 per cookie when the number of cookies, x, is less than 12 (x < 12).
• For a dozen cookies (exactly 12), the rate is a flat $12.00.
• For more than a dozen cookies (x > 12), the initial dozen is priced at $12.00, and each additional cookie beyond the dozen is priced at $0.75. Thus, the total cost is $12.00 + $0.75 for each cookie beyond 12, represented as $12.00 + $0.75(x-12).

Options a) and b) correctly represent these pricing scenarios. Option c) incorrectly combines two separate pricing rates, and option d) only takes into account the additional cookies without including the flat rate for the first dozen, which is incorrect.