The monthly rent for a pizza parlor is $1,200. The average production cost per pizza is $6.75. The monthly expenses for the pizza parlor are given by the function 𝐸⁡(𝑥)=1,200+6.75⁢𝑥 , where x is the number of pizzas sold. For x pizzas sold, the pizza parlor's revenue is given by the function 𝑅⁡(𝑥)=12.5⁢𝑥 .The monthly profit of the pizza parlor is the difference between its revenue and its expenses. Which function represents the monthly profit, 𝑃⁡(𝑥) ? A. 𝑃⁡(𝑥)=5.75⁢𝑥+1,200 B. 𝑃⁡(𝑥)=5.75⁢𝑥−1,200 C. 𝑃⁡(𝑥)=1,200+19.25⁢𝑥 D. 𝑃⁡(𝑥)=6.25⁢𝑥−1,200

The market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared3. Derive the total revenue equation:  Blank 1. Fill in the blank, read surrounding text.

A cereal company estimates that its monthly cost is 𝐶(𝑥)=400𝑥2+300𝑥C(x)=400x 2 +300x and its monthly revenue is 𝑅(𝑥)=−0.6𝑥3+900𝑥2−400𝑥+700R(x)=−0.6x 3 +900x 2 −400x+700, where x is in thousands of boxes sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?A.𝑃(𝑥)=0.6𝑥3−500𝑥2+700𝑥−700P(x)=0.6x 3 −500x 2 +700x−700B.𝑃(𝑥)=0.6𝑥3−1300𝑥2+100𝑥+700P(x)=0.6x 3 −1300x 2 +100x+700C.𝑃(𝑥)=−0.6𝑥3+1300𝑥2−100𝑥+700P(x)=−0.6x 3 +1300x 2 −100x+700D.𝑃(𝑥)=−0.6𝑥3+500𝑥2−700𝑥+700P(x)=−0.6x 3 +500x 2 −700x+700SUBMITarrow_backPREVIOUS

The demand function of a product for a manufacturer is 𝑝 (𝑥) = 𝑎𝑥 + 𝑏. The manufacturer knows that he can sell 1250 units when the price is GHS5 per unit and he can sell 1500 units at a price of GHS4 per unit. Find the total, and average revenue functions.

The following table contains a monthly demand schedule for large, single-topping, carry-out pizzas.Price Quantity Demanded$15 A$20 25If the law of demand applies to these pizzas, then A could beGroup of answer choices30.25.0.15.

A phone company has a texting plan that charges a monthly rate based on the number of texts an individual sends per month.  This is modeled by the function cost of plan, 𝐶(𝑥),𝐶(𝑥), in dollars, is a function of the number of texts sent, 𝑥𝑥, per month.𝐶(𝑥)=⎧⎩⎨⎪⎪250.05𝑥+25.075𝑥+25 if 𝑥<100 if 100≤𝑥≤500 if 500<𝑥𝐶(𝑥)={25 if 𝑥<1000.05𝑥+25 if 100≤𝑥≤500.075𝑥+25 if 500<𝑥If you sent 500500 texts last month, what was the cost of your bill from the phone company? Question 2Answera.$37.50$37.50 b.$50.00$50.00c.$25.00$25.00d.$62.50