Question

PIZZA A pizzeria purchases a new brick oven for $5000. If it costs an additional $2.90 to make each pizza, then how many pizzas will the pizzeria have to make so that the average cost per pizza is at most $3.50?

The pizzeria will have to make,(1)_______,(2)_______ pizzas.
(1)
a) at most
b) at least

(2)
a) 8334
b) 14,500
c) 5000
d) 8333
e) 1723
f) 0

25 POINTS ANSWER PLEASE!!?

Answer 1

• (1) b - at least;
• (2) a - 8334.

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Let the number of pizzas be x.

The average cost per pizza is:

• (2.9x + 5000)/x

If we need the average cost be at most $3.50, we need an inequality:

• (2.9x + 5000)/x ≤ 3.5
• 2.9x + 5000 ≤ 3.5x
• 3.5x - 2.9x ≥ 5000
• 0.6x ≥ 5000
• x ≥ 5000/0.6
• x ≥ 8334 (rounded up)

This is translated as:

• The pizzeria will have to make, at least, 8334 pizzas.

The blanks are:

• (1) at least;
• (2) 8334.