EX-99.(a)(1)(D)

THE OFFER AND WITHDRAWAL RIGHTS EXPIRE AT 12:00 MIDNIGHT, NEW YORK CITY TIME, AT THE END OF THE DAY ON JUNE 6, 2017, UNLESS THE OFFER IS EXTENDED OR EARLIER TERMINATED (SUCH DATE AND TIME, AS IT MAY BE EXTENDED, THE “EXPIRATION DATE”).

DVB Merger Sub, Inc., a Delaware corporation (“Purchaser”) that is a wholly owned subsidiary of Tyson Foods, Inc., a Delaware corporation (“Parent”), is making an offer to purchase all outstanding shares of common stock, par value $0.01 per share (the “Shares”), of AdvancePierre Foods Holdings, Inc., a Delaware corporation (“AdvancePierre”), at a purchase price of $40.25 per Share (the “Offer Price”), net to the seller in cash, without interest, subject to any required withholding of taxes and upon the terms and subject to the conditions set forth in the Offer to Purchase dated May 9, 2017 (as it may be amended or supplemented from time to time, the “Offer to Purchase”) and the related Letter of Transmittal (as it may be amended or supplemented from time to time, the “Letter of Transmittal” and, together with the Offer to Purchase, the “Offer”) enclosed herewith.

Please furnish copies of the enclosed materials to those of your clients for whose accounts you hold Shares registered in your name or in the name of your nominee.

Enclosed herewith for your information and forwarding to your clients for whose accounts you hold Shares registered in your name or in the name of your nominee are copies of the following documents:

YOUR PROMPT ACTION IS REQUESTED. WE URGE YOU TO CONTACT YOUR CLIENTS AS PROMPTLY AS POSSIBLE. PLEASE NOTE THAT THE OFFER AND WITHDRAWAL RIGHTS EXPIRE AT 12:00 MIDNIGHT, NEW YORK CITY TIME, AT THE END OF THE DAY ON JUNE 6, 2017, UNLESS THE OFFER IS EXTENDED.

The Offer is being made pursuant to the Agreement and Plan of Merger, dated as of April 25, 2017 (as amended from time to time, the “Merger Agreement”), among AdvancePierre, Parent and Purchaser. The Merger Agreement provides, among other things, that as soon as practicable (and in any event within two business days) after consummation of the Offer and subject to the satisfaction or waiver of the other conditions set forth in the Merger Agreement, Purchaser will merge with and into AdvancePierre (the “Merger”), with AdvancePierre continuing as the surviving corporation and a wholly owned subsidiary of Parent. At the effective time of the Merger, each outstanding Share (other than (i) Shares owned by Parent, Purchaser, AdvancePierre (or held in AdvancePierre’s treasury) or any direct or indirect wholly-owned subsidiary of Parent or AdvancePierre immediately prior to the effective time of the Merger, or (ii) Shares held by any stockholder that has properly exercised appraisal rights under the Delaware General Corporation Law (the “DGCL”)) will be converted into the right to receive the Offer Price in cash and without interest, less any required withholding of taxes. No appraisal rights are available in connection with the Offer. However, if the Merger is consummated, pursuant to the DGCL, stockholders who do not tender their Shares in the Offer will have the right, by fully complying with the applicable provisions of Section 262 of the DGCL, to choose not to accept the consideration payable for their Shares pursuant to the Merger, and instead to demand an appraisal of their Shares by the Court of Chancery of the State of Delaware and to receive a cash payment of the “fair value” of their Shares as of the effective time of the Merger as determined by the Court of Chancery of the State of Delaware. The “fair value” of such Shares may be more than, less than, or equal to the Offer Price. The Merger Agreement is more fully described in Section 13 of the Offer to Purchase and stockholders’ appraisal rights are more fully described in Section 12 to the Offer to Purchase.

The AdvancePierre board of directors (the “AdvancePierre Board”) has unanimously (i) determined that the Merger Agreement and the transactions contemplated thereby, including the Offer and the Merger, are fair to and in the best interests of AdvancePierre and its stockholders, (ii) approved, adopted and declared advisable the Merger Agreement and the transactions contemplated thereby, including the Offer and the Merger, in accordance with the requirements of the DGCL, (iii) resolved that the Merger Agreement and the Merger shall be governed by Section 251(h) of the DGCL and that the Merger shall be consummated as soon as practicable following the time Purchaser first accepts for payment Shares validly tendered and not withdrawn pursuant to the Offer and (iv) resolved, subject to certain terms set forth in the Merger Agreement, to recommend that the stockholders of AdvancePierre tender their Shares into the Offer.

The Offer is conditioned upon, among other things, there being validly tendered in accordance with the terms of the Offer and not validly withdrawn, immediately prior to the expiration of the Offer, a number of Shares (excluding any Shares that have not been “received” (as defined in Section 251(h) of the DGCL)) that, together with the Shares owned by Parent, Purchaser and any other direct or indirect wholly-owned subsidiary of Parent, represents at least a majority of the Shares then outstanding on a fully-diluted basis as of the date and time at which the acceptance for payment of Shares pursuant to and subject to the Offer occurs (the “Minimum Condition”) and (ii) the expiration or termination of any applicable waiting period (and any extension thereof) under the Hart-Scott-Rodino Antitrust Improvements Act of 1976, as amended, without the imposition of a “Burdensome Condition” (as described in more detail in Section 16 of the Offer to Purchase). There is no financing condition to the Offer.

No alternative, conditional or contingent tenders will be accepted. In all cases, payment for Shares accepted for payment pursuant to the Offer will only be made after timely receipt by the Depositary of (i) certificates evidencing such Shares or confirmation of a book-entry transfer of such Shares into the Depositary’s account at The Depository Trust Company pursuant to the procedures set forth in the Offer to Purchase, (ii) the Letter of Transmittal, properly completed and duly executed, with any required signature guarantees or, in the case of Shares held of record in book-entry form by a clearing corporation as nominee, an Agent’s Message (as described in the Offer to Purchase) in lieu of the Letter of Transmittal and (iii) any other documents required by the Letter of Transmittal. Accordingly, tendering stockholders may be paid at different times depending upon when certificates or book-entry confirmations with respect to Shares are actually received by the Depositary. If you wish to tender Shares pursuant to the Offer and cannot deliver such Shares and all other required documents to the Depositary or cannot comply with the procedures for book-entry transfer described in Section 3 of the Offer

to Purchase, in each case prior to the Expiration Date, you may nevertheless tender such Shares by following the procedures for guaranteed delivery set forth in Section 3 of the Offer to Purchase.

Purchaser will not pay any fees or commissions to any broker, dealer or other person (other than to Mackenzie Partners, Inc. (the “Information Agent”) and the Depositary as described in the Offer to Purchase) for soliciting tenders of Shares pursuant to the Offer. Purchaser will, however, upon request, reimburse brokers, dealers, commercial banks, trust companies and other nominees for reasonable and necessary costs and expenses incurred by them in forwarding the enclosed materials to their customers.

Purchaser will pay all stock transfer taxes applicable to its purchase of Shares pursuant to the Offer, subject to Instruction 6 of the Letter of Transmittal.

In order to take advantage of the Offer, a duly executed and properly completed Letter of Transmittal (or a manually signed facsimile thereof) or, in the case of Shares held of record in book-entry form by a clearing corporation as nominee, an Agent’s Message (as defined in the Offer to Purchase) in lieu of the Letter of Transmittal, and any other required documents, should be sent to the Depositary, and certificates representing the tendered Shares should be delivered or such Shares should be tendered by book-entry transfer, all in accordance with the instructions contained in the Letter of Transmittal and in the Offer to Purchase. However, Shares tendered by the Notice of Guaranteed Delivery will be excluded from the determination of whether the Minimum Condition has been satisfied, unless such Shares and other required documents are received by the Depositary by the Expiration Date.

If holders of Shares wish to tender, but it is impracticable for them to forward their certificates or other required documents or to complete the procedures for delivery by book-entry transfer prior to the expiration of the Offer, a tender may be effected by following the guaranteed delivery procedures described in Section 3 of the Offer to Purchase.

Any inquiries you may have with respect to the Offer should be addressed to, and additional copies of the enclosed materials may be obtained from, the Information Agent or the undersigned at the addresses and telephone numbers set forth on the back cover of the Offer to Purchase.

NOTHING CONTAINED HEREIN OR IN THE ENCLOSED DOCUMENTS SHALL RENDER YOU THE AGENT OF PARENT, PURCHASER, THE INFORMATION AGENT OR THE DEPOSITARY, OR ANY AFFILIATE OF ANY OF THEM, OR AUTHORIZE YOU OR ANY OTHER PERSON TO USE ANY DOCUMENT OR MAKE ANY STATEMENT ON BEHALF OF ANY OF THEM IN CONNECTION WITH THE OFFER OTHER THAN THE DOCUMENTS ENCLOSED HEREWITH AND THE STATEMENTS CONTAINED THEREIN.