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A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4, 000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets T in the factory after D days. 2) After how many days will the factory begin producing trinkets? 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days. 1) D=50000-4000T 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days.

Question

A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4, 000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets T in the factory after D days. 2) After how many days will the factory begin producing trinkets? 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days. 1) D=50000-4000T 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days.

A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4, 000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets T in the factory after D days. 2) After how many days will the factory begin producing trinkets? 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days. 1) D=50000-4000T 2) The factory will produce trinkets after 8(3)/(4) days. 2) The factory will produce trinkets after 9 days.

Solution

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DaphneProfessional · Tutor for 6 years

Answer

### 1) \( T=50000-4000D \)<br />### 2) The factory will produce trinkets after 9 days.

Explain

## Step 1: Define the Equation for Trinkets<br />### The number of trinkets \( T \) remaining after \( D \) days can be expressed as \( T = 50000 - 4000D \). This equation accounts for the initial 50,000 trinkets and subtracts 4,000 trinkets per day.<br />## Step 2: Determine When Production Begins<br />### To find when production begins, set \( T < 15000 \). Solve \( 50000 - 4000D < 15000 \) to find \( D \). Simplifying gives \( 4000D > 35000 \), leading to \( D > 8.75 \). Since \( D \) must be a whole number, the factory will begin producing trinkets after 9 days.
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